Skip to Main Content

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.

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 decomposition theorem for closed compact connected P. L. $n$-manifolds
HTML articles powered by AMS MathViewer

by B. G. Casler PDF
Proc. Amer. Math. Soc. 31 (1972), 623-624 Request permission

Abstract:

Let $M$ be a compact connected P.L. $n$-manifold without boundary. Then $M$ is the union of 3 sets ${E_1},{E_2}$ and $F$ where ${E_i},i = 1,2$, is homomorphic to the interior of an $n$-ball and $F$ is the P.L. image of an $(n - 1)$-sphere. Further each point of $F$ is a limit point of ${E_1}$ and ${E_2}$.
References
    B. G. Casler and T. J. Smith, Standard spines of compact connected combinatorial $n$-manifolds with boundary (to appear).
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 623-624
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0290372-6
  • MathSciNet review: 0290372