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Relative simplicial approximation

Published online by Cambridge University Press:  24 October 2008

E. C. Zeeman
E. C. Zeeman
Affiliation:
Gonville and Caius College, Cambridge
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Extract

The absolute simplicial approximation theorem, which dates back to Alexander (l), states that there is a simplicial approximation g to any given continuous map f between two finite simplicial complexes (see for instance (2), p. 37 or (3), p. 86). The relative theorem given here permits us to leave f unchanged on any subcomplex, on which f happens to be already simplicial.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 1 , January 1964 , pp. 39 - 43
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

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