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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.

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Decompostions of $E^{3}$ with a compact $\textrm {O}$-dimensional set of nondegenerate elements
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by Steve Armentrout PDF
Trans. Amer. Math. Soc. 123 (1966), 165-177 Request permission
References
  • Steve Armentrout, Upper semi-continuous decompositions of $E^{3}$ with at most countably many non-degenerate elements, Ann. of Math. (2) 78 (1963), 605–618. MR 156331, DOI 10.2307/1970546
    • β€”, Concerning point-like decompositions of ${S^3}$ that yield $3$-manifolds, Abstract 619-115, Notices Amer. Math. Soc. 12 (1965), 90. R. J. Bean, Decompositions of ${E^3}$ which yield ${E^3}$, Abstract 619-198, Notices Amer. Math. Soc. 12 (1965), 117.
  • R. H. Bing, Upper semicontinuous decompositions of $E^3$, Ann. of Math. (2) 65 (1957), 363–374. MR 92960, DOI 10.2307/1969968
  • 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. of Math. (2) 65 (1957), 484–500. MR 92961, DOI 10.2307/1970058
    • β€”, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. 59 (1952), 354-362. β€”, Point like decompositions of ${E^2}$, Fund. Math. 50 (1962), 431-453.
  • R. H. Bing, Snake-like continua, Duke Math. J. 18 (1951), 653–663. MR 43450
  • R. H. Bing, Inequivalent families of periodic homeomorphisms of $E^{3}$, Ann. of Math. (2) 80 (1964), 78–93. MR 163308, DOI 10.2307/1970492
    • β€”, Topology of $3$-manifolds and related topics, Decompositions of ${E^3}$, Prentice-Hall, Englewood Cliffs, N.J., 1962; pp. 5-21.
  • 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
    • K. W. Kwun, Upper semi-continuous decompositions of the $n$-sphere, Proc. Amer. Math. Soc. 13 (1962), 284-290.
  • Kyung Whan Kwun and Frank Raymond, Almost acyclic maps on manifolds, Amer. J. Math. 86 (1964), 638–650. MR 184239, DOI 10.2307/2373028
    • L.L. Lininger, The sum of two crumpledcubes is ${S^3}$ if it is a $3$-manifold, Abstract 64T-445, Notices Amer. Math. Soc. 11 (1964), 678. L. F. McAuley, Another decomposition of ${E^3}$ into points and intervals (to appear).
  • Edwin E. Moise, Affine structures in $3$-manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952), 96–114. MR 48805, DOI 10.2307/1969769
  • R. L. Moore, Foundations of point set theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
  • 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
    • T. M. Price, Cellular decompositions of ${E^3}$, Ph. D. Thesis, University of Wisconsin, Madison, Wis., 1964.
  • Horst Schubert, Knoten und Vollringe, Acta Math. 90 (1953), 131–286 (German). MR 72482, DOI 10.1007/BF02392437
  • D. G. Stewart, Cellular subsets of the $3$-sphere, Trans. Amer. Math. Soc. 114 (1965), 10–22. MR 173244, DOI 10.1090/S0002-9947-1965-0173244-8
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 123 (1966), 165-177
  • MSC: Primary 54.78
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0195074-4
  • MathSciNet review: 0195074