On Subdivisions of Complexes-Reference-Cited by-同舟云学术

On Subdivisions of Complexes

Published:1935-01 Issue:1 Volume:31 Page:69-75
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Whitehead J. H. C.,Newman M. H. A.

Abstract

1. This paper is supplementary to an article by M. H. A. Newman on the superposition of manifolds. Guided by his main idea, I extend Newman's theorem that two equivalent manifolds have a common subdivision from equivalent manifolds to equivalent complexes of an arbitrary nature. The theorem is also sharpened by the possibility of leaving a certain subcomplex unaltered, and by substituting a partition for a general subdivision.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Annals of Math. 31 (1930), 292–320

2. Proc. Royal Acad. Amsterdam, 29 (1926), 627

3. Journal London Math. Soc. 6 (1931), 186–93

4. Journal London Math. Soc. 2 (1926), 56–64, § 3.

5. Journal London Math. Soc. 2 (1926), 56–64.

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