An alternative proof that Bing's dogbone space is not topologically

Author:
E. H. Anderson

Journal:
Trans. Amer. Math. Soc. **150** (1970), 589-609

MSC:
Primary 54.78

MathSciNet review:
0282351

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References | Similar Articles | Additional Information

**[1]**J. W. Alexander,*On the subdivision of -space by a polyhedron*, Proc. Nat. Acad. Sci. U.S.A.**10**(1924), 6-8.**[2]**E. H. Anderson,*Some decompositions of*, Master's Thesis, Louisiana State University, Baton Rouge, 1964.**[3]**E. H. Anderson,*Two-spheres which avoid if contains a -od*, Duke Math. J.**36**(1969), 7-14. MR**38**#5190.**[4]**Steve Armentrout,*Decompositions of with a compact 0-dimensional set of nondegenerate elements*, Trans. Amer. Math. Soc.**123**(1966), 165-177. MR**33**#3279.**[5]**R. H. Bing,*A homeomorphism between the -sphere and the sum of two solid horned spheres*, Ann. of Math. (2)**56**(1952), 354-362. MR**14**, 192.**[6]**-,*Approximating surfaces with polyhedral ones*, Ann. of Math. (2)**65**(1957), 456-483. MR**19**, 300.**[7]**-,*A decomposition of into points and tame arcs such that the decomposition space is topologically different from*, Ann. of Math. (2)**65**(1957), 484-500. MR**19**, 1187.**[8]**B. G. Casler,*On the sum of two solid Alexander horned spheres*, Trans. Amer. Math. Soc.**116**(1965), 135-150. MR**32**#3049.**[9]**J. G. Hocking and Gail S. Young,*Topology*, Addison-Wesley, Reading, Mass., 1961. MR**23**#A2857.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1970-0282351-2

Article copyright:
© Copyright 1970
American Mathematical Society