Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An alternative proof that Bing’s dogbone space is not topologically $E^{3}$
HTML articles powered by AMS MathViewer

by E. H. Anderson PDF
Trans. Amer. Math. Soc. 150 (1970), 589-609 Request permission
References
    J. W. Alexander, On the subdivision of $3$-space by a polyhedron, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 6-8. E. H. Anderson, Some decompositions of ${E^3}$, Master’s Thesis, Louisiana State University, Baton Rouge, 1964. E. H. Anderson, Two-spheres which avoid ${I^3}$ if ${I^3}$ contains a $p$-od, Duke Math. J. 36 (1969), 7-14. MR 38 #5190. Steve Armentrout, Decompositions of ${E^3}$ with a compact $0$-dimensional set of nondegenerate elements, Trans. Amer. Math. Soc. 123 (1966), 165-177. MR 33 #3279. R. H. Bing, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354-362. MR 14, 192. —, Approximating surfaces with polyhedral ones, Ann. of Math. (2) 65 (1957), 456-483. MR 19, 300. —, A decomposition of ${E^3}$ into points and tame arcs such that the decomposition space is topologically different from ${E^3}$, Ann. of Math. (2) 65 (1957), 484-500. MR 19, 1187. B. G. Casler, On the sum of two solid Alexander horned spheres, Trans. Amer. Math. Soc. 116 (1965), 135-150. MR 32 #3049. J. G. Hocking and Gail S. Young, Topology, Addison-Wesley, Reading, Mass., 1961. MR 23 #A2857.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 54.78
  • Retrieve articles in all journals with MSC: 54.78
Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 150 (1970), 589-609
  • MSC: Primary 54.78
  • DOI: https://doi.org/10.1090/S0002-9947-1970-0282351-2
  • MathSciNet review: 0282351