A decomposition theorem for closed compact connected P. L. $n$-manifolds
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- 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
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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