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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A class of $4$-manifolds which have $2$-spines
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by Bruce Trace PDF
Proc. Amer. Math. Soc. 79 (1980), 155-156 Request permission

Abstract:

In this note we establish the following. Theorem. Let ${M^4}$ denote a piecewise linear or smooth compact 4-manifold-with-boundary having a handle decomposition consisting of 0-, 2- and 3-handles. Then ${M^4}$ has a 2-dimensional spine if and only if ${H_3}({M^4}) = 0$.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 155-156
  • MSC: Primary 57Q99; Secondary 57Q15
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0560603-8
  • MathSciNet review: 560603