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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.

 

A surface is tame if its complement is $1$-ULC
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by R. H. Bing PDF
Trans. Amer. Math. Soc. 101 (1961), 294-305 Request permission
References
    J. W. Alexander, An example of a simply connected surface bounding a region which is not simply connected, Proc. Nat. Acad. Sci. U.S.A. vol. 10 (1924) pp. 8-10.
  • R. H. Bing, Locally tame sets are tame, Ann. of Math. (2) 59 (1954), 145–158. MR 61377, DOI 10.2307/1969836
    • β€”, Approximating surfaces with polyhedral ones, Ann. of Math. vol. 61 (1957) pp. 456-483.
  • R. H. Bing, An alternative proof that $3$-manifolds can be triangulated, Ann. of Math. (2) 69 (1959), 37–65. MR 100841, DOI 10.2307/1970092
  • R. H. Bing, Conditions under which a surface in $E^{3}$ is tame, Fund. Math. 47 (1959), 105–139. MR 107229, DOI 10.4064/fm-47-1-105-139
    • β€”, A wild sphere each of whose arcs is tame, Duke Math. J. β€”, Side approximations of 2-spheres, submitted to Annals of Math.
  • Ralph H. Fox and Emil Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979–990. MR 27512, DOI 10.2307/1969408
  • Edwin E. Moise, Affine structures in $3$-manifolds. IV. Piecewise linear approximations of homeomorphisms, Ann. of Math. (2) 55 (1952), 215–222. MR 46644, DOI 10.2307/1969775
  • Edwin E. Moise, Affine structures in $3$-manifolds. VIII. Invariance of the knot-types; local tame imbedding, Ann. of Math. (2) 59 (1954), 159–170. MR 61822, DOI 10.2307/1969837
  • C. D. Papakyriakopoulos, On Dehn’s lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1–26. MR 90053, DOI 10.2307/1970113
  • John R. Stallings, Uncountably many wild disks, Ann. of Math. (2) 71 (1960), 185–186. MR 111003, DOI 10.2307/1969885
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 101 (1961), 294-305
  • MSC: Primary 54.75
  • DOI: https://doi.org/10.1090/S0002-9947-1961-0131265-1
  • MathSciNet review: 0131265