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Matrix Characterizations of Topological Properties

Published online by Cambridge University Press:  20 November 2018

D.A. Bonnett  and
J.R. Porter
D.A. Bonnett
Affiliation:
University of Kansas
J.R. Porter
Affiliation:
University of Kansas
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In [S], H. Sharp characterizes each topology on a finite set S = {s1, s2,…sn} with a n×n zero-one matrix T = (tij) where tij=1 if and only if . In this paper we seek matrix characterizations of certain topological properties of finite spaces. Such characterizations will provide purely mechanical ways of determining if a space has a certain topological property.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 95 - 105
Copyright
Copyright © Canadian Mathematical Society 1968

References

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