Another Class of Cyclicly Extensible and Reducible Properties
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 103-106
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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 P n-1 and if whenever it is written as a union, S = A ∪ B where each of A and B is closed and has property P n-1, then A ∩ B also has property P n-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.
Mots-clés :
54F55, 54F23, 54F30, Cyclic extensibility, cyclic reducibility, unicoherence
Lehman, B. Another Class of Cyclicly Extensible and Reducible Properties. Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 103-106. doi: 10.4153/CMB-1985-011-7
@article{10_4153_CMB_1985_011_7,
author = {Lehman, B.},
title = {Another {Class} of {Cyclicly} {Extensible} and {Reducible} {Properties}},
journal = {Canadian mathematical bulletin},
pages = {103--106},
year = {1985},
volume = {28},
number = {1},
doi = {10.4153/CMB-1985-011-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-011-7/}
}
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