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What is the theory of shape?

Published online by Cambridge University Press:  17 April 2009

Karol Borsuk
Affiliation:
ul Filtrowa 63 m 18, 02-056 Warsaw, Poland.
Jerzy Dydak
Affiliation:
ul Sulmierzycka 6 m 62, 02-139 Warsaw, Poland.
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Abstract

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This expository article on Shape Theory contains the main concepts of this theory with a formulation of the most important results of this theory and also with some open problems. The proofs are omitted, however the article gives references to the hooks and papers, in which the reader can find the proofs.

For simplicity, we formulate several theorems only in the form which clearly gives their geometric sense, even if there are known more general results with rather complicated formulations. The reader more interested in details, can find them in the original papers quoted in the list of references.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1980

References

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