On locally $r$-incomparable families of infinite-dimensional Cantor manifolds
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 165-173
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The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally $r$-incomparable families of different types of finite-dimensional Cantor manifolds.
Classification :
54F45, 57N99
Keywords: Cantor manifolds; countable-dimensional; weakly infinite-dimensional; \newline strongly infinite-dimensional
Keywords: Cantor manifolds; countable-dimensional; weakly infinite-dimensional; \newline strongly infinite-dimensional
@article{CMUC_1999__40_1_a11,
author = {Chatyrko, Vitalij A.},
title = {On locally $r$-incomparable families of infinite-dimensional {Cantor} manifolds},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {165--173},
publisher = {mathdoc},
volume = {40},
number = {1},
year = {1999},
mrnumber = {1715209},
zbl = {1060.54510},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a11/}
}
TY - JOUR AU - Chatyrko, Vitalij A. TI - On locally $r$-incomparable families of infinite-dimensional Cantor manifolds JO - Commentationes Mathematicae Universitatis Carolinae PY - 1999 SP - 165 EP - 173 VL - 40 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a11/ LA - en ID - CMUC_1999__40_1_a11 ER -
%0 Journal Article %A Chatyrko, Vitalij A. %T On locally $r$-incomparable families of infinite-dimensional Cantor manifolds %J Commentationes Mathematicae Universitatis Carolinae %D 1999 %P 165-173 %V 40 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a11/ %G en %F CMUC_1999__40_1_a11
Chatyrko, Vitalij A. On locally $r$-incomparable families of infinite-dimensional Cantor manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 165-173. http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a11/