### Bibliography

[1] : “Abstract for ‘A peculiar function’,” Bull. Am. Math. Soc. 35 : 4 (1929), pp. 442–443. Abstract only; unpublished. JFM 55.0157.05 article

[2] : “Abstract for ‘Note on central motions’,” Bull. Am. Math. Soc. 36 : 5 (1930), pp. 352. Abstract only; unpublished. JFM 56.0685.18 article

[3] : “Abstract for ‘A theory of graphs and their coloring’,” Bull. Am. Math. Soc. 36 : 11 (1930), pp. 798. Abstract only; unpublished. JFM 56.0515.13 article

[4] : “Abstract for ‘A normal form for maps’,” Bull. Am. Math. Soc. 36 : 3 (1930), pp. 216–217. Abstract only; unpublished. JFM 56.0515.12 article

[5] :
“Abstract for ‘A logical expansion in mathematics’,”
Bull. Am. Math. Soc.
36 : 11
(1930),
pp. 798.
Abstract only; published in *Bull. Am. Math. Soc.* **38**:8 (1932), pp. 572–579.
JFM
56.0060.25
article

[6] : “A theorem on graphs,” Ann. Math. (2) 32 : 2 (April 1931), pp. 378–390. MR 1503003 JFM 57.0727.03 Zbl 0002.16101 article

[7] : “Non-separable and planar graphs,” Proc. Nat. Acad. Sci. U.S.A. 17 : 2 (February 1931), pp. 125–127. JFM 57.0727.05 article

[8] : “The coloring of graphs,” Proc. Natl. Acad. Sci. U.S.A. 17 : 2 (February 1931), pp. 122–125. JFM 57.0727.04 Zbl 0001.29301 article

[9] : “Abstract for ‘On homeomorphic graphs and the connectivity of graphs’,” Bull. Am. Math. Soc. 37 : 3 (1931), pp. 168. Abstract only; unpublished. JFM 57.0758.26 article

[10] :
“Abstract for ‘A characterization of the closed 2-cell’,”
Bull. Am. Math. Soc.
37 : 11
(1931),
pp. 820–821.
Abstract only; published in *Trans. Am. Math. Soc.* **35**:1 (1933), pp. 261–273.
JFM
57.0758.27
article

[11] : “Abstract for ‘Basic graphs’,” Bull. Am. Math. Soc. 38 : 1 (1932), pp. 37–38. Abstract only; unpublished. JFM 58.0647.17 article

[12] :
“Abstract for ‘A set of topological invariants for graphs’,”
Bull. Am. Math. Soc.
38 : 1
(1932),
pp. 38.
Abstract only; published in *Am. J. Math.* **55**:1–4 (1933), pp. 231–235.
JFM
58.0647.19
article

[13] : “Abstract for ‘Conditions that a graph have a dual’,” Bull. Am. Math. Soc. 38 : 1 (1932), pp. 37. Abstract only; unpublished. JFM 58.0647.18 article

[14] : “Regular families of curves, I,” Proc. Natl. Acad. Sci. U.S.A. 18 : 3 (March 1932), pp. 275–278. JFM 58.0633.02 Zbl 0004.07503 article

[15] : “Abstract for ‘On 2-congruent graphs’,” Bull. Am. Math. Soc. 38 : 5 (1932), pp. 354. Abstract only; unpublished. JFM 58.0647.20 article

[16] : “Non-separable and planar graphs,” Trans. Am. Math. Soc. 34 : 2 (1932), pp. 339–362. MR 1501641 JFM 58.0608.01 Zbl 0004.13103 article

[17] : “Note on Perron’s solution of the Dirichlet problem,” Proc. Natl. Acad. Sci. U.S.A. 18 : 1 (January 1932), pp. 68–70. JFM 58.0509.01 Zbl 0003.34901 article

[18] :
“Abstract for ‘Regular families of curves, I’,”
Bull. Am. Math. Soc.
38 : 3
(1932),
pp. 183.
Abstract only; published in *Proc. Natl. Acad. Sci. U.S.A.* **18**:3 (1932), pp. 275–278.
JFM
58.0648.10
article

[19] : “Regular families of curves, II,” Proc. Natl. Acad. Sci. U.S.A. 18 : 4 (April 1932), pp. 340–342. Zbl 0004.13201 article

[20] : “Congruent graphs and the connectivity of graphs,” Am. J. Math. 54 : 1 (January 1932), pp. 150–168. MR 1506881 JFM 58.0609.01 Zbl 0003.32804 article

[21] : “A logical expansion in mathematics,” Bull. Am. Math. Soc. 38 : 8 (1932), pp. 572–579. MR 1562461 JFM 58.0605.08 Zbl 0005.14602 article

[22] :
“Abstract for ‘Cross sections of curves in 3-space’,”
Bull. Am. Math. Soc.
38 : 11
(1932),
pp. 808.
Abstract only; published in *Duke Math. J.* **4**:1 (1938), pp. 222–226.
JFM
58.0648.11
article

[23] :
“Abstract for ‘Characteristic functions and the algebra of logic’,”
Bull. Am. Math. Soc.
38 : 1
(1932),
pp. 38.
Abstract only; published in *Ann. of Math. (2)* **34**:3 (1933), pp. 405–414.
JFM
58.0070.06
article

[24] : “The coloring of graphs,” Ann. Math. (2) 33 : 4 (October 1932), pp. 688–718. MR 1503085 JFM 58.0606.01 Zbl 0005.31301 article

[25] :
“Abstract for ‘Note on Perron’s solution of the Dirichlet problem’,”
Bull. Am. Math. Soc.
38 : 1
(1932),
pp. 41.
Abstract only; published in *Proc. Natl. Acad. Sci. U.S.A.* **18**:1 (1932), pp. 68–70.
JFM
58.0519.04
article

[26] :
“Abstract for ‘Regular families of curves, II’,”
Bull. Am. Math. Soc.
38 : 3
(1932),
pp. 183–184.
Abstract only; published in *Proc. Natl. Acad. Sci. U.S.A.* **18**:4 (1932), pp. 340–342.
article

[27] : The coloring of graphs. Ph.D. thesis, Harvard University, 1932. Advised by G. D. Birkhoff. MR 2936470 phdthesis

[28] : “2-Isomorphic graphs,” Am. J. Math. 55 : 1–4 (1933), pp. 245–254. MR 1506961 JFM 59.1235.01 Zbl 0006.37005 article

[29] : “On the classification of graphs,” Am. J. Math. 55 : 1–4 (1933), pp. 236–244. MR 1506960 JFM 59.1233.02 Zbl 0006.37004 article

[30] : “Characteristic functions and the algebra of logic,” Ann. Math. (2) 34 : 3 (July 1933), pp. 405–414. MR 1503114 JFM 59.0051.05 Zbl 0007.19402 article

[31] : “Abstract for ‘Differentiable functions defined on closed sets’,” Bull. Am. Math. Soc. 39 : 5 (1933), pp. 352–353. Abstract only; unpublished. JFM 59.0292.06 article

[32] :
“Abstract for ‘Functions differentiable on the boundaries of regions’,”
Bull. Am. Math. Soc.
39 : 11
(1933),
pp. 874.
Abstract only; published in *Ann. Math. (2)* **35**:3 (1934), pp. 482–485.
JFM
59.0292.09
article

[33] :
“Abstract for ‘Differentiable functions defined in closed sets, I’,”
Bull. Am. Math. Soc.
39 : 9
(1933),
pp. 673.
Abstract only; published in *Trans. Am. Math. Soc.* **36**:2 (1934), pp. 369–387.
JFM
59.0292.08
article

[34] : “Regular families of curves,” Ann. Math. (2) 34 : 2 (April 1933), pp. 244–270. MR 1503106 JFM 59.1256.04 Zbl 0006.37101 article

[35] : “Planar graphs,” Fundam. Math. 21 (1933), pp. 73–84. JFM 59.1235.03 Zbl 0008.08501 article

[36] : “A set of topological invariants for graphs,” Am. J. Math. 55 : 1–4 (1933), pp. 231–235. MR 1506959 JFM 59.1235.02 Zbl 0006.37003 article

[37] :
“Abstract for ‘Analytic extensions of differentiable functions defined on closed sets’,”
Bull. Am. Math. Soc.
39 : 1
(1933),
pp. 31.
Abstract only; published in *Trans. Am. Math. Soc.* **36**:1 (1934), pp. 63–89.
JFM
59.0260.04
article

[38] : “A characterization of the closed 2-cell,” Trans. Am. Math. Soc. 35 : 1 (January 1933), pp. 261–273. MR 1501683 JFM 59.0566.02 Zbl 0006.08303 article

[39] :
“Abstract for ‘Derivatives, difference quotients, and Taylor’s formula, I’,”
Bull. Am. Math. Soc.
39 : 7
(1933),
pp. 508.
Abstract only; published in *Bull. Am. Math. Soc.* **40**:2 (1934), pp. 89–94.
JFM
59.0292.07
article

[40] :
“Abstract for ‘Derivatives, difference quotients, and Taylor’s formula, II’,”
Bull. Am. Math. Soc.
39 : 11
(1933),
pp. 875.
Abstract only; published in *Ann. Math. (2)* **35**:3 (1934), pp. 476–481.
article

[41] :
“Abstract for ‘On the abstract properties of linear dependence’,”
Bull. Am. Math. Soc.
40 : 9
(1934),
pp. 663.
Abstract only; published in *Am. J. Math.* **57**:3 (1935), pp. 509–533.
JFM
60.0883.04
article

[42] : “Differentiable functions defined in closed sets, I,” Trans. Am. Math. Soc. 36 : 2 (1934), pp. 369–387. MR 1501749 JFM 60.0217.02 Zbl 0009.20803 article

[43] : “Abstract for ‘Analytic approximations to manifolds’,” Bull. Am. Math. Soc. 40 : 9 (1934), pp. 663. Abstract only; unpublished. JFM 60.0536.01 article

[44] : “Analytic extensions of differentiable functions defined in closed sets,” Trans. Am. Math. Soc. 36 : 1 (1934), pp. 63–89. MR 1501735 JFM 60.0217.01 Zbl 0008.24902 article

[45] : “Derivatives, difference quotients and Taylor’s formula, II,” Ann. Math. (2) 35 : 3 (July 1934), pp. 476–481. MR 1503173 JFM 60.0963.01 Zbl 0010.01504 article

[46] : “Functions differentiable on the boundaries of regions,” Ann. Math. (2) 35 : 3 (July 1934), pp. 482–485. MR 1503174 JFM 60.0217.03 Zbl 0009.30901 article

[47] : “Erratum: ‘Derivatives, difference quotients, and Taylor’s formula’,” Bull. Am. Math. Soc. 40 : 12 (1934), pp. 894.

[48] : “Derivatives, difference quotients, and Taylor’s formula,” Bull. Am. Math. Soc. 40 : 2 (1934), pp. 89–94. MR 1562803 JFM 60.0962.02 Zbl 0009.05903 article

[49] :
“Abstract for ‘A numerical equivalent of the four-color problem’,”
Bull. Am. Math. Soc.
40 : 1
(1934),
pp. 36.
Abstract only; published in *Monatsh. Math. Phys.* **45**:1 (1936), pp. 207–213.
JFM
60.0535.04
article

[50] :
“Abstract for ‘A function not constant on a connected set of critical points’,”
Bull. Am. Math. Soc.
41 : 11
(1935),
pp. 796.
Abstract only; published in *Duke Math. J.* **1**:4 (1935), pp. 514–517.
JFM
61.0262.07
article

[51] : “Abstract for ‘Sphere-spaces, with applications’,” Bull. Am. Math. Soc. 41 : 5 (1935), pp. 337–338. Abstract only; unpublished. JFM 61.0641.13 article

[52] : “A function not constant on a connected set of critical points,” Duke Math. J. 1 : 4 (1935), pp. 514–517. MR 1545896 JFM 61.1117.01 Zbl 0013.05801 article

[53] : “On the abstract properties of linear dependence,” Am. J. Math. 57 : 3 (July 1935), pp. 509–533. MR 1507091 JFM 61.0073.03 Zbl 0012.00404 article

[54] : “Sphere-spaces,” Proc. Natl. Acad. Sci. U.S.A. 21 : 7 (1935), pp. 464–468. JFM 61.0624.01 Zbl 0012.12603 article

[55] : “Differentiable manifolds in Euclidean space,” Proc. Natl. Acad. Sci. U.S.A. 21 : 7 (July 1935), pp. 462–464. JFM 61.0624.02 Zbl 0012.12602 article

[56] :
“Abstract for ‘Differentiable manifolds in Euclidean space’,”
Bull. Am. Math. Soc.
41 : 9
(1935),
pp. 625–626.
Abstract only; published in *Proc. Natl. Acad. Sci. U.S.A.* **21**:7 (1935), pp. 462–464.
JFM
61.0641.14
article

[57] : “Abstract for ‘On a theorem of H. Hopf’,” Bull. Am. Math. Soc. 41 : 11 (1935), pp. 787. Abstract only; unpublished. JFM 61.0641.07 article

[58] : “Sphere-spaces,” Rec. Math. Moscou, n. Ser. 1 : 5 (1936), pp. 787–791. JFM 62.0662.03 Zbl 0016.13904 article

[59] : “A numerical equivalent of the four color map problem,” Monatsh. Math. Phys. 45 : 1 (1936), pp. 207–213. MR 1550643 JFM 63.0551.01 Zbl 0016.42002 article

[60] :
“Abstract for ‘Differentiable functions defined in arbitrary subsets of Euclidean space’,”
Bull. Am. Math. Soc.
42 : 1
(1936),
pp. 23.
Abstract only; published in *Trans. Am. Math. Soc.* **40**:2 (1936), pp. 309–317.
JFM
62.0272.04
article

[61] : “Abstract for ‘The maps of a 4-complex into a 2-sphere’,” Bull. Am. Math. Soc. 42 : 5 (1936), pp. 338–339. Abstract only; unpublished. JFM 62.0695.13 article

[62] : “Differentiable manifolds in Euclidean space,” Rec. Math. Moscou, n. Ser. 1 : 5 (1936), pp. 783–786. JFM 62.0806.03 Zbl 0016.08501 article

[63] :
“Abstract for ‘Matrices of integers and combinatorial topology’,”
Bull. Am. Math. Soc.
42 : 11
(1936),
pp. 816.
Abstract only; published in *Duke Math. J.* **3**:1 (1937), pp. 35–45.
JFM
62.0695.05
article

[64] :
“Abstract for ‘On the maps of an __\( n \)__-sphere into another __\( n \)__-sphere’,”
Bull. Am. Math. Soc.
42 : 11
(1936),
pp. 810.
Abstract only; published in *Duke Math. J.* **3**:1 (1937), pp. 46–50.
JFM
62.0695.12
article

[65] : “Differentiable functions defined in arbitrary subsets of Euclidean space,” Trans. Am. Math. Soc. 40 : 2 (1936), pp. 309–317. MR 1501875 JFM 62.0265.02 Zbl 0015.01001 article

[66] : “The imbedding of manifolds in families of analytic manifolds,” Ann. Math. (2) 37 : 4 (October 1936), pp. 865–878. MR 1503315 JFM 62.0806.02 Zbl 0015.18002 article

[67] :
“Abstract for ‘On regular closed curves in the plane’,”
Bull. Am. Math. Soc.
42 : 9
(1936),
pp. 639.
Abstract only; published in *Compositio Math.* **4** (1937), pp. 276–284.
JFM
62.0809.05
article

[68] : “Differentiable manifolds,” Ann. Math. (2) 37 : 3 (July 1936), pp. 645–680. MR 1503303 JFM 62.1454.01 Zbl 0015.32001 article

[69] : “On regular closed curves in the plane,” Compositio Math. 4 (1937), pp. 276–284. MR 1556973 JFM 63.0647.01 Zbl 0016.13804 article

[70] : “Topological properties of differentiable manifolds,” Bull. Am. Math. Soc. 43 : 12 (1937), pp. 785–805. MR 1563640 JFM 63.0556.03 Zbl 0018.23902 article

[71] :
“The maps of an __\( n \)__-complex into an __\( n \)__-sphere,”
Duke Math. J.
3 : 1
(1937),
pp. 51–55.
MR
1545972
JFM
63.1162.02
Zbl
0016.22901
article

[72] :
“On the maps of an __\( n \)__-sphere into another __\( n \)__-sphere,”
Duke Math. J.
3 : 1
(1937),
pp. 46–50.
MR
1545971
JFM
63.1162.01
Zbl
0016.22808
article

[73] : “On matrices of integers and combinatorial topology,” Duke Math. J. 3 : 1 (1937), pp. 35–45. MR 1545970 JFM 64.1265.03 Zbl 0016.27805 article

[74] : “Analytic coordinate systems and arcs in a manifold,” Ann. Math. (2) 38 : 4 (October 1937), pp. 809–818. MR 1503372 JFM 63.0651.01 Zbl 0017.42802 article

[75] : “On products in a complex,” Proc. Natl. Acad. Sci. U.S.A. 23 : 5 (May 1937), pp. 285–291. JFM 63.1160.02 Zbl 0016.42001 article

[76] : “Tensor products of Abelian groups,” Duke Math. J. 4 : 3 (1938), pp. 495–528. MR 1546071 JFM 64.0065.01 Zbl 0019.39802 article

[77] : “Book review: Leçons sur les principes topologiques de la théorie des fonctions analytiques, by S. Stöilow,” Bull. Am. Math. Soc. 44 : 11 (1938), pp. 758–759. MR 1563864 article

[78] : “On products in a complex,” Ann. Math. (2) 39 : 2 (April 1938), pp. 397–432. MR 1503416 JFM 64.1265.04 Zbl 0019.14204 article

[79] : “Cross-sections of curves in 3-space,” Duke Math. J. 4 : 1 (1938), pp. 222–226. MR 1546045 JFM 64.0626.03 Zbl 0018.42603 article

[80] : “Some combinatorial properties of complexes,” Proc. Nat. Acad. Sci. U.S.A. 26 : 2 (February 1940), pp. 143–148. MR 0001337 JFM 66.0947.04 Zbl 0023.38303 article

[81] : “On the theory of sphere-bundles,” Proc. Nat. Acad. Sci. U.S.A. 26 : 2 (February 1940), pp. 148–153. MR 0001338 JFM 66.0952.01 Zbl 0023.17603 article

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[83] : “On regular families of curves,” Bull. Am. Math. Soc. 47 (1941), pp. 145–147. MR 0004115 JFM 67.0744.03 Zbl 0025.23602 article

[84] : “Differentiability of the remainder term in Taylor’s formula,” Duke Math. J. 10 : 1 (1943), pp. 153–158. MR 0007782 Zbl 0063.08234 article

[85] : “Differentiable even functions,” Duke Math. J. 10 : 1 (1943), pp. 159–160. MR 0007783 Zbl 0063.08235 article

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Ann. Math. (2)
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