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Another Class of Cyclicly Extensible and Reducible Properties

Published online by Cambridge University Press:  20 November 2018

B. Lehman
B. Lehman*
Affiliation:
University of GuelphDepartment of Mathematics and Statistics Guelph, Ontario, Canada NIG 2W1
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Abstract

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A space S has property P-1 if S is nonempty. For n > — 1, S has property Pn if it is locally connected, has property Pn-1 and if whenever it is written as a union, S = A ∪ B where each of A and B is closed and has property Pn-1, then A ∩ B also has property Pn-1. The purpose of this paper is to establish that for locally compact spaces, each of the properties Pn is both cyclicly extensible and reducible.

Keywords

54F5554F2354F30Cyclic extensibilitycyclic reducibilityunicoherence
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 103 - 106
Copyright
Copyright © Canadian Mathematical Society 1985

References

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