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Restrictive Semigroups of Closed Functions

Published online by Cambridge University Press:  20 November 2018

Kenneth D. Magill JR.
Kenneth D. Magill JR.*
Affiliation:
State University of New York, Buffalo, New York
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It is assumed that all topological spaces discussed in this paper are T1 spaces. A function ƒ mapping a topological space X into itself is a closed function if ƒ[H] is closed for each closed subset H of S. The semigroup, under composition, of all closed functions mapping X into X is denoted by Γ(X). These were among the semigroups under consideration in (4).

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1215 - 1229
Copyright
Copyright © Canadian Mathematical Society 1968

References

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