Another Class of Cyclicly Extensible and Reducible Properties
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 103-106

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1985-011-7
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/}
}
TY  - JOUR
AU  - Lehman, B.
TI  - Another Class of Cyclicly Extensible and Reducible Properties
JO  - Canadian mathematical bulletin
PY  - 1985
SP  - 103
EP  - 106
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-011-7/
DO  - 10.4153/CMB-1985-011-7
ID  - 10_4153_CMB_1985_011_7
ER  - 
%0 Journal Article
%A Lehman, B.
%T Another Class of Cyclicly Extensible and Reducible Properties
%J Canadian mathematical bulletin
%D 1985
%P 103-106
%V 28
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-011-7/
%R 10.4153/CMB-1985-011-7
%F 10_4153_CMB_1985_011_7

[1] 1. Lehman, B., Some conditions related to local connectedness, Duke Math. J., 41 (1974), pp. 247–253. Google Scholar

[2] 2. Lehman, B., Cyclic element theory in connected and locally connected Hausdorjf spaces, Can. J. Math 28 (1976), pp. 1032–1050. Google Scholar

[3] 3. Lehman, B., K-coherence is cyclicly extensible and reducible, Can. J. Math., 32 (1980), pp. 1270–1276. Google Scholar

[4] 4. Vietoris, L., Uber den Hoheren Zusammenhang von Vereinigungsmengen und Durchschnitter, Fund. Math. 19(1932), pp. 265–273. Google Scholar

[5] 5. Whyburn, G.T., Analytic Topology. Amer. Math. Soc. Coll. Publ. XXVIII. (1942). Google Scholar

[6] 6. Whyburn, G.T., Cut points in general topological spaces, Proc. Nat. Acad. Sci., 61 (1968), pp. 380—387. Google Scholar

Cité par Sources :