Celebratio Mathematica

R H Bing

The mathematical work of R H Bing

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R. H. Bing: “The Kline sphere char­ac­ter­iz­a­tion prob­lem,” Bull. Am. Math. Soc. 52 : 8 (1946), pp. 644–​653. MR 0016645 Zbl 0060.​40501 article

R. H. Bing: “A ho­mo­gen­eous in­decom­pos­able plane con­tinuum,” Duke Math. J. 15 : 3 (1948), pp. 729–​742. MR 0027144 Zbl 0035.​39103 article

R. H. Bing: “Met­riz­a­tion of to­po­lo­gic­al spaces,” Ca­na­dian J. Math. 3 (1951), pp. 175–​186. MR 0043449 Zbl 0042.​41301 article

R. H. Bing: “Con­cern­ing hered­it­ar­ily in­decom­pos­able con­tinua,” Pa­cific J. Math. 1 : 1 (1951), pp. 43–​51. MR 0043451 Zbl 0043.​16803 article

R. H. Bing: “Loc­ally tame sets are tame,” Ann. Math. (2) 59 : 1 (January 1954), pp. 145–​158. MR 0061377 Zbl 0055.​16802 article

R. H. Bing: “A de­com­pos­i­tion of \( E^3 \) in­to points and tame arcs such that the de­com­pos­i­tion space is to­po­lo­gic­ally dif­fer­ent from \( E^3 \),” Ann. Math. (2) 65 : 3 (May 1957), pp. 484–​500. MR 0092961 Zbl 0079.​38806 article

R. H. Bing: “Ap­prox­im­at­ing sur­faces with poly­hed­ral ones,” Ann. Math. (2) 65 : 3 (May 1957), pp. 465–​483. Ex­pan­ded ver­sion of an art­icle in Sum­mer in­sti­tute on set the­or­et­ic to­po­logy (1957). MR 0087090 Zbl 0079.​38805 article

R. H. Bing: “Ne­ces­sary and suf­fi­cient con­di­tions that a 3-man­i­fold be \( S^3 \),” Ann. Math. (2) 68 : 1 (July 1958), pp. 17–​37. MR 0095471 Zbl 0081.​39202 article

R. H. Bing: “An al­tern­at­ive proof that 3-man­i­folds can be tri­an­gu­lated,” Ann. Math. (2) 69 : 1 (January 1959), pp. 37–​65. MR 0100841 Zbl 0106.​16604 article

R. H. Bing: “The Cartesian product of a cer­tain non­man­i­fold and a line is \( E^4 \),” Ann. Math. (2) 70 : 3 (November 1959), pp. 399–​412. Ex­pan­ded ver­sion of an art­icle in Bull Am. Math. Soc. 64:3 (1958). MR 0107228 Zbl 0089.​39501 article

R. H. Bing and F. B. Jones: “An­oth­er ho­mo­gen­eous plane con­tinuum,” Trans. Am. Math. Soc. 90 : 1 (1959), pp. 171–​192. MR 0100823 Zbl 0084.​18903 article

R. H. Bing: “A simple closed curve is the only ho­mo­gen­eous bounded plane con­tinuum that con­tains an arc,” Canad. J. Math. 12 (1960), pp. 209–​230. MR 0111001 Zbl 0091.​36204 article

R. H. Bing: “Tame Can­tor sets in \( E^3 \),” Pa­cific J. Math. 11 : 2 (1961), pp. 435–​446. MR 0130679 Zbl 0111.​18606 article

R. H. Bing: “A sur­face is tame if its com­ple­ment is 1-ULC,” Trans. Am. Math. Soc. 101 : 2 (November 1961), pp. 294–​305. MR 0131265 Zbl 0109.​15406 article

R. H. Bing: “Each disk in \( E^3 \) is pierced by a tame arc,” Am. J. Math. 84 : 4 (October 1962), pp. 591–​599. MR 0146812 Zbl 0178.​27202 article

R. H. Bing: “Each disk in \( E^3 \) con­tains a tame arc,” Am. J. Math. 84 : 4 (October 1962), pp. 583–​590. MR 0146811 Zbl 0178.​27201 article

R. H. Bing: “Ap­prox­im­at­ing sur­faces from the side,” Ann. Math. (2) 77 : 1 (January 1963), pp. 145–​192. MR 0150744 Zbl 0115.​40603 article

R. D. An­der­son and R. H. Bing: “A com­plete ele­ment­ary proof that Hil­bert space is homeo­morph­ic to the count­able in­fin­ite product of lines,” Bull. Am. Math. Soc. 74 : 5 (1968), pp. 771–​792. MR 0230284 Zbl 0189.​12402 article

R. H. Bing: “The elu­sive fixed point prop­erty,” Am. Math. Mon. 76 : 2 (February 1969), pp. 119–​132. MR 0236908 Zbl 0174.​25902 article

R. H. Bing: “The mono­tone map­ping prob­lem,” pp. 99–​115 in To­po­logy of man­i­folds (Uni­versity of Geor­gia, Athens, GA, 11–22 Au­gust 1969). Edi­ted by J. C. Cantrell and C. H. Ed­wards. Markham Math­em­at­ics Series. Markham (Chica­go), 1970. MR 0275379 Zbl 0283.​57004 incollection

R. H. Bing: The geo­met­ric to­po­logy of 3-man­i­folds. AMS Col­loqui­um Pub­lic­a­tions 40. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1983. MR 728227 Zbl 0535.​57001 book