On the disjoint (0,N)-cells property for homogeneous ANR's
Krupski, Paweł
Colloquium Mathematicae, Tome 66 (1993), p. 77-84 / Harvested from The Polish Digital Mathematics Library
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A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell Bn into X and for each ε > 0 there exist a point y ∈ X and a map g:Bn→X such that ϱ(x,y) < ε, ϱ^(f,g)<ε and y∉g(Bn). It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact LCn-1-space then local homologies satisfy Hk(X,X-x)=0 for k < n and Hn(X,X-x) ≠ 0.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210236 
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     title = {On the disjoint (0,N)-cells property for homogeneous ANR's},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {77-84},
     zbl = {0849.54026},
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Krupski, Paweł. On the disjoint (0,N)-cells property for homogeneous ANR's. Colloquium Mathematicae, Tome 66 (1993) pp. 77-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv66i1p77bwm/

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