### Complete Bibliography

[1]
phdthesis
:
A generalization of the Pontrjagin square cohomology operation.
Ph.D. thesis,
Princeton University,
1955.
Advised by N. E. Steenrod.
Published (under a different title) as *Memoirs of the American Mathematical Society* **27** (1957). See also *Proc. Nat. Acad. Sci. U.S.A.* **42**:5 (1956).

[2] : “A generalization of the Pontrjagin square cohomology operation,” Proc. Nat. Acad. Sci. U.S.A. 42 : 5 (May 1956), pp. 266–269. See also the author’s PhD thesis (1955). MR 0079254 Zbl 0071.16302 article

[3] : “Cohomology operations derived from cyclic groups,” Comment. Math. Helv. 32 (1957), pp. 129–152. MR 0092148 Zbl 0090.39101 article

[4] : The generalized Pontrjagin cohomology operations and rings with divided powers. Memoirs of the American Mathematical Society 27. 1957. Republication (under a different title) of the author’s PhD thesis (1955). MR 0099029 Zbl 0085.37504 book

[5] : “A note on non-stable cohomology operations,” Bol. Soc. Mat. Mex., II. Ser. 3 (1958), pp. 13–18. MR 0105680 Zbl 0121.39604 article

[6] : “The generalized Pontrjagin cohomology operations,” pp. 155–158 in Symposium internacional de topología algebraica [International symposium on algebraic topology] (Mexico City, August 1956). Universidad Nacional Autónoma de México and UNESCO (Mexico City and Paris), 1958. MR 0099028 Zbl 0123.16104 incollection

[7] : “The functional Pontrjagin cohomology operations,” Bol. Soc. Mat. Mex., II. Ser. 3 (1958), pp. 19–24. MR 0103460 Zbl 0121.39701 article

[8] : “Which Lie groups are homotopy-abelian?,” Proc. Nat. Acad. Sci. U.S.A. 45 : 5 (May 1959), pp. 737–740. MR 0106465 Zbl 0085.25801 article

[9] :
“On tensor products of __\( n \)__-plane bundles,”
Arch. Math. Logik Grundlagenforsch
10 : 1
(1959),
pp. 174–179.
MR
0107234
Zbl
0192.29501
article

[10] : “The suspension of the generalized Pontrjagin cohomology operations,” Pac. J. Math. 9 : 3 (July 1959), pp. 897–911. MR 0110098 Zbl 0121.39603 article

[11] : “Homotopy-abelian Lie groups,” Bull. Am. Math. Soc. 66 : 4 (1960), pp. 324–326. MR 0119207 Zbl 0152.01103 article

[12] : “A note on certain polynomial algebras,” Proc. Am. Math. Soc. 11 : 3 (1960), pp. 410–414. MR 0121393 Zbl 0098.36201 article

[13] :
“On the cohomology of the real Grassmann complexes and the characteristic classes of __\( n \)__-plane bundles,”
Trans. Am. Math. Soc.
96 : 1
(July 1960),
pp. 67–89.
MR
0121800
Zbl
0098.36301
article

[14] : “On functional cup-products and the transgression operator,” Arch. Math. 12 : 1 (1961), pp. 435–444. MR 0149485 Zbl 0101.15705 article

[15] : “Axioms for the generalized Pontryagin cohomology operations,” Q. J. Math., Oxf. II. Ser. 13 : 1 (1962), pp. 55–60. MR 0140103 Zbl 0104.39701 article

[16] : “Homotopy-abelian topological groups,” Topology 1 : 3 (1962), pp. 237–240. MR 0149483 Zbl 0107.40602 article

[17] : “The torsion Pontryagin classes,” Proc. Am. Math. Soc. 13 : 3 (1962), pp. 485–488. MR 0141132 Zbl 0109.16001 article

[18] : “Homotopy-commutativity in rotation groups,” Topology 1 : 2 (1962), pp. 121–124. MR 0139167 Zbl 0114.39204 article

[19] : “On the cohomology groups of the classifying space for the stable spinor groups,” Bol. Soc. Mat. Mex., II. Ser. 7 (1962), pp. 57–69. MR 0153027 Zbl 0124.16401 article

[20] : “On homotopy-commutativity,” Ann. Math. (2) 76 : 1 (July 1962), pp. 9–17. MR 0139166 Zbl 0107.40601 article

[21] :
“On the mod 2 cohomology of certain __\( H \)__-spaces,”
Comment. Math. Helv.
37
(1962–1963),
pp. 132–140.
MR
0149484
Zbl
0108.35705
article

[22] :
“Steenrod squares and __\( H \)__-spaces,”
Ann. Math. (2)
77 : 2
(March 1963),
pp. 306–317.
MR
0145526
Zbl
0115.40303
article

[23] : “On the symmetric square of a sphere,” J. Math. Mech. 12 : 5 (1963), pp. 771–776. MR 0154282 Zbl 0136.20301 article

[24] :
“On the projective plane of an __\( H \)__-space,”
Ill. J. Math.
7 : 3
(1963),
pp. 492–502.
MR
0151974
Zbl
0136.43905
article

[25] : “Exceptional Lie groups and Steenrod squares,” Mich. Math. J. 11 : 2 (1964), pp. 151–156. MR 0163307 Zbl 0136.44001 article

[26] : “Homotopy classification of maps by cohomology homomorphisms,” Trans. Am. Math. Soc. 111 : 1 (1964), pp. 138–151. MR 0160212 Zbl 0119.18401 article

[27] : “On cross sections to fiber spaces,” Proc. Nat. Acad. Sci. U.S.A. 54 : 1 (July 1965), pp. 40–41. MR 0178476 Zbl 0132.19701 article

[28] : “An approach to the enumeration problem for non-stable vector bundles,” J. Math. Mech. 14 : 3 (1965), pp. 485–506. MR 0175134 Zbl 0142.40701 article

[29] :
“Steenrod squares and __\( H \)__-spaces, II,”
Ann. Math. (2)
81 : 3
(May 1965),
pp. 473–495.
MR
0177408
Zbl
0127.13503
article

[30] : “Note on the classification of cross-sections,” Topology 4 : 4 (January 1966), pp. 351–359. MR 0212820 Zbl 0136.44202 article

[31] : “On the enumeration of cross-sections,” Topology 5 : 2 (May 1966), pp. 95–114. MR 0196753 Zbl 0141.40505 article

[32] :
“The Steenrod squares in the mod two cohomology algebra of an __\( H \)__-space,”
pp. 113–117
in
Colloque de topologie
[Topology symposium]
(Brussels, 7–10 September 1964).
Publications du CBRM 22.
Centre Belge de Recherches Mathématiques (Liège),
1966.
MR
0220276
Zbl
0136.43904
incollection

[33] : Seminar on fiber spaces (Berkeley, 1964; Zürich, 1965). Lecture Notes in Mathematics 13. Springer (Berlin), 1966. MR 0203733 Zbl 0151.31604 book

[34] : “Cross-sections of stably equivalent vector bundles,” Q. J. Math., Oxf. II. Ser. 17 : 1 (1966), pp. 53–57. MR 0196747 Zbl 0135.41301 article

[35] : “An exact sequence for principal fibrations,” Bol. Soc. Mat. Mex., II. Ser. 12 (1967), pp. 35–45. MR 0243526 Zbl 0183.51702 article

[36] :
“Fields of tangent __\( k \)__-planes on manifolds,”
Invent. Math.
3 : 4
(1967),
pp. 334–347.
MR
0217814
Zbl
0162.55402
article

[37] : “Submersions and immersions of manifolds,” Invent. Math. 2 : 3 (1967), pp. 171–177. MR 0212821 Zbl 0146.19803 article

[38] : “The index of a tangent 2-field,” Comment. Math. Helv. 42 (1967), pp. 86–110. Dedicated to Professor H. Hopf. MR 0215317 Zbl 0153.53504 article

[39] : “Complex structures on real vector bundles,” Am. J. Math. 89 : 4 (October 1967), pp. 887–908. MR 0220310 Zbl 0174.54802 article

[40] : “Postnikov invariants and higher order cohomology operations,” Ann. Math. (2) 85 : 2 (March 1967), pp. 184–217. MR 0210135 Zbl 0152.22002 article

[41] : “Real and complex vector fields on manifolds,” J. Math. Mech. 16 : 11 (1967), pp. 1183–1205. MR 0210136 Zbl 0153.53503 article

[42] : “Fields of tangent 2-planes on even-dimensional manifolds,” Ann. Math. (2) 86 : 2 (September 1967), pp. 349–361. MR 0212834 Zbl 0168.21401 article

[43] : “Submersions and immersions with codimension one or two,” Proc. Am. Math. Soc. 19 : 4 (1968), pp. 859–863. MR 0229246 Zbl 0169.26102 article

[44] : “Vector fields on low dimensional manifolds,” Math. Z. 103 : 2 (1968), pp. 85–93. MR 0224109 Zbl 0162.55403 article

[45] : “A note on certain secondary cohomology operations,” Bol. Soc. Mat. Mex., II. Ser. 13 (1968), pp. 1–17. MR 0266203 Zbl 0207.21801 article

[46] : “The span of a manifold,” Q.J. Math., Oxf. II. Ser. 19 : 1 (1968), pp. 225–244. MR 0234487 Zbl 0167.51901 article

[47] : “A generalization of the Steenrod–Whitehead vector field theorem,” Topology 7 : 3 (August 1968), pp. 311–316. MR 0229253 Zbl 0186.57303 article

[48] : “On the existence of immersions and submersions,” Trans. Am. Math. Soc. 132 : 2 (1968), pp. 387–394. MR 0225332 Zbl 0169.26101 article

[49] : “Vector fields on manifolds,” Bull. Am. Math. Soc. 75 (1969), pp. 643–683. MR 0242189 Zbl 0183.51703 article

[50] : “The Thom–Massey approach to embeddings,” pp. 283–307 in The Steenrod algebra and its applications (Battelle Memorial Institute, Columbus, OH, 30 March–4 April 1970). Edited by F. P. Peterson. Lecture Notes in Mathematics 168. Springer (Berlin), 1970. Proceedings of a conference to celebrate N. E. Steenrod’s sixtieth birthday. MR 0287560 Zbl 0216.45302 incollection

[51] : “Whitney–Cartan product formulae,” Math. Z. 118 : 2 (1970), pp. 115–138. MR 0278296 Zbl 0205.53103 article

[52] : “Some remarks on vector fields,” pp. 107–113 in H-spaces: Actes de la réunion de Neuchâtel [H-spaces: Proceedings of the Neuchâtel meeting] (Neuchâtel, Switzerland, August 1970). Edited by F. Sigrist. Lecture Notes in Mathematics 196. Springer (Berlin), 1971. MR 0287567 Zbl 0218.57013 incollection

[53]
incollection
:
“Group extensions and principal fibrations”
in
Proceedings of the advanced study institute on algebraic topology
(Aarhus, Denmark, 10–13 August 1970),
vol. 2.
Various publications series 13.
Aarhus Universitet Matematisk Enstitut,
1971.
Also published as *Math. Scand.* **30** (1972).

[54] :
“Group extensions and principal fibrations,”
Math. Scand.
30
(1972),
pp. 227–248.
Also appeared in *Proceedings of the advanced study institute on algebraic topology* (1970).
MR
0328935
Zbl
0254.55009
article

[55] :
“Cohomology operations on __\( p \)__-fold sums,”
Proc. Am. Math. Soc.
33 : 2
(June 1972),
pp. 551–553.
MR
0290356
Zbl
0242.55024
article

[56] : “Mappings into loop spaces and central group extensions,” Math. Z. 128 : 4 (1972), pp. 277–296. MR 0317318 Zbl 0254.55010 article

[57] : “Secondary obstructions to integrability,” pp. 655–661 in Dynamical systems (Salvador, Brazil, 26 July–14 August 1971). Edited by M. M. Peixoto. Academic Press (New York), 1973. MR 0343293 Zbl 0285.58005 incollection

[58] : “Group extensions and twisted cohomology theories,” Ill. J. Math. 17 : 3 (1973), pp. 397–410. MR 0336744 Zbl 0274.55022 article

[59] :
“On signatures associated with ramified coverings and embedding problems,”
pp. 229–235
in
Colloque international sur l’analyse et la topologie différentielle
[International symposium on analysis and differential topology]
(CNRS, Strasbourg, 20–29 June 1972),
published as Ann. Inst. Fourier
23 : 2
(1973).
Colloques internationaux du Centre national de la recherche scientifique **210**.
MR
0339201
Zbl
0262.57012
incollection

[60] :
“Nontriviality of the stable homotopy element __\( \gamma_1 \)__,”
J. Pure Appl. Algebra
4 : 2
(April 1974),
pp. 189–203.
MR
0356049
Zbl
0287.55014
article

[61] : “Nonsmoothing of algebraic cycles on Grassmann varieties,” Bull. Am. Math. Soc. 80 : 5 (September 1974), pp. 847–851. MR 0357402 Zbl 0289.14011 article

[62] : “On manifolds representing homology classes in codimension 2,” Invent. Math. 25 : 1 (1974), pp. 63–89. MR 0383438 Zbl 0283.57018 article

[63] : “Integrality relations on smooth manifolds,” Math. Scand. 39 : 2 (1976), pp. 195–231. MR 0442933 Zbl 0356.57006 article

[64] : “Embedding manifolds in Euclidean space,” Osaka J. Math. 13 : 1 (1976), pp. 163–186. MR 0474332 Zbl 0328.57009 article

[65] : “Generalized higher order cohomology operations and stable homotopy groups of spheres,” Adv. Math. 20 : 3 (June 1976), pp. 287–328. MR 0423351 Zbl 0335.55009 article

[66] : “On the divisibility of certain Chern numbers,” Q. J. Math., Oxf. II. Ser. 28 : 4 (1977), pp. 389–401. MR 0467771 Zbl 0401.55009 article

[67] : “Smoothings of isolated singularities,” pp. 111–117 in Algebraic and geometric topology (Stanford, CA, 2–21 August 1976), part 2. Edited by R. J. Milgram. Proceedings of Symposia in Pure Mathematics 32. American Mathematical Society (Providence, RI), 1978. MR 520527 Zbl 0398.57001 incollection

[68] : “Cobordism obstructions to deforming isolated singularities,” Math. Ann. 232 : 1 (1978), pp. 33–53. MR 0500994 Zbl 0381.57011 article

[69] : “Complex cobordism and intersections of projective varieties,” pp. 168–178 in Variétés analytiques compactes [Compact analytic varieties] (Nice, 19–23 September 1977). Edited by Y. Hervier and A. Hirschowitz. Lecture Notes in Mathematics 683. Springer (Berlin), 1978. MR 517524 Zbl 0427.57016 incollection

[70] : “Fundamental units for orders in certain cubic number fields,” J. Reine Angew. Math. 1979 : 310 (1979), pp. 33–55. MR 546663 Zbl 0427.12005 article

[71] : “On the resolution of cusp singularities and the Shintani decomposition in totally real cubic number fields,” Math. Ann. 247 : 1 (1980), pp. 1–20. MR 565136 Zbl 0403.14005 article

[72] : “On the fundamental group of a space of sections,” Math. Scand. 47 : 2 (1980), pp. 232–246. MR 612697 Zbl 0463.55010 article

[73] : “Realizing homology classes by almost-complex submanifolds,” Math. Z. 172 : 2 (1980), pp. 195–201. MR 580860 Zbl 0443.14010 article

[74] : “Diophantine equations arising from cubic number fields,” J. Number Theory 13 : 3 (August 1981), pp. 398–414. MR 634208 Zbl 0468.10009 article

[75] : “Chern numbers of Hilbert modular varieties,” J. Reine Angew. Math. 1981 : 324 (1981), pp. 192–210. MR 614525 Zbl 0491.14019 article

[76] : “Chern numbers of cusp resolutions in totally real cubic number fields,” J. Reine Angew. Math. 1981 : 324 (1981), pp. 175–191. MR 614524 Zbl 0491.14018 article

[77] : “Betti numbers of Hilbert modular varieties,” pp. 70–87 in Topological topics: Articles on algebra and topology presented to P. J. Hilton in celebration of his sixtieth birthday. Edited by I. M. James. London Mathematical Society Lecture Note Series 86. Cambridge University Press, 1983. MR 827249 Zbl 0523.14026 incollection

[78] : “Defects of cusp singularities,” Math. Ann. 264 : 3 (1983), pp. 397–411. MR 714112 Zbl 0504.14002 article

[79] : “Rings of Hilbert modular forms,” Compos. Math. 48 : 2 (1983), pp. 139–165. MR 700001 Zbl 0515.10027 article

[80] :
“On the zeta function for function fields over __\( \mathbf{F}_p \)__,”
Pac. J. Math.
107 : 1
(1983),
pp. 251–256.
MR
701822
Zbl
0518.12007
article

[81] : “A family of elliptic curves and cyclic cubic field extensions,” Math. Proc. Camb. Philos. Soc. 96 : 1 (July 1984), pp. 39–43. MR 743699 Zbl 0555.14010 article

[82] : “Complete solutions to a family of cubic Diophantine equations,” J. Number Theory 34 : 2 (February 1990), pp. 235–250. MR 1042497 Zbl 0697.10011 article

[83] : “Solutions to certain families of Thue equations,” J. Number Theory 43 : 3 (March 1993), pp. 319–369. MR 1212687 Zbl 0774.11013 article

[84] : “Solutions to infinite families of complex cubic Thue equations,” J. Reine Angew. Math. 1993 : 441 (January 1993), pp. 17–32. MR 1228609 Zbl 0780.11014 article

[85] : “Counting solutions to trinomial Thue equations: A different approach,” Trans. Am. Math. Soc. 352 : 8 (2000), pp. 3595–3622. MR 1641119 Zbl 0995.11025 article

[86] : “Characteristic classes and differentiable manifolds,” pp. 113–187 in Classi caratteristiche e questioni connesse [Characteristic classes and related questions] (L’Aquila, Italy, 2–10 September 1966). Edited by E. Martinelli. C.I.M.E. Summer Schools 41. Springer (Heidelberg), 2010. MR 2768044 incollection