Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T01:14:02.832Z Has data issue: false hasContentIssue false

A proof of Newman's theorem

Published online by Cambridge University Press:  24 October 2008

Marshall M. Cohen
Affiliation:
Department of Mathematics, Princeton University, New Jersey

Extract

If Σn is a piecewise linear n-sphere and Qn is a piecewise linear n-ball which is a subpolyhedron of Σn thenis a piecewise linear n-ball.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Alexander, J. W.The combinatorial theory of complexes. Ann. of Math. 31 (1930), 292320.CrossRefGoogle Scholar
(2)Hudson, J. F. P. and Zeeman, E. C.On regular neighbourhoods. Proc. London. Math. Soc. 14 (1964), 719745.CrossRefGoogle Scholar
(3)Newman, M. H. A.On the foundations of combinatory analysis Situs. Nederl. Akad. Wetensch. Proc. Ser. A 29 (1926), 610641.Google Scholar
(4)Whitehead, J. H. C.Simplicial spaces, nuclei and m-groups. Proc. London Math. Soc. 45 (1939), 243327.CrossRefGoogle Scholar
(5)Zeeman, E. C.Seminar on combinatorial topology (mimeographed notes), Inst. Hautes Etudes Sci. (Paris, 1963).Google Scholar