Interplay between strongly universal spaces and pairs

Taras Banakh; Robert Cauty

  • 2000

Abstract

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Given a pair (M,X) of spaces we investigate the connections between the (strong) universality of (M,X) and that of the space X. We apply this to prove Enlarging, Deleting, and Strong Negligibility Theorems for strongly universal and absorbing spaces. Given an absorbing space Ω we also study the question of topological uniqueness of the pair (M,X), where M = [ 0 , 1 ] ω or M = ( 0 , 1 ) ω and X is a copy of Ω in M having a locally homotopy negligible complement in M.

How to cite

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Taras Banakh, and Robert Cauty. Interplay between strongly universal spaces and pairs. 2000. <http://eudml.org/doc/286012>.

@book{TarasBanakh2000,
abstract = {Given a pair (M,X) of spaces we investigate the connections between the (strong) universality of (M,X) and that of the space X. We apply this to prove Enlarging, Deleting, and Strong Negligibility Theorems for strongly universal and absorbing spaces. Given an absorbing space Ω we also study the question of topological uniqueness of the pair (M,X), where $M = [0,1]^\{ω\}$ or $M = (0,1)^\{ω\}$ and X is a copy of Ω in M having a locally homotopy negligible complement in M.},
author = {Taras Banakh, Robert Cauty},
keywords = {absorbing spaces},
language = {eng},
title = {Interplay between strongly universal spaces and pairs},
url = {http://eudml.org/doc/286012},
year = {2000},
}

TY - BOOK
AU - Taras Banakh
AU - Robert Cauty
TI - Interplay between strongly universal spaces and pairs
PY - 2000
AB - Given a pair (M,X) of spaces we investigate the connections between the (strong) universality of (M,X) and that of the space X. We apply this to prove Enlarging, Deleting, and Strong Negligibility Theorems for strongly universal and absorbing spaces. Given an absorbing space Ω we also study the question of topological uniqueness of the pair (M,X), where $M = [0,1]^{ω}$ or $M = (0,1)^{ω}$ and X is a copy of Ω in M having a locally homotopy negligible complement in M.
LA - eng
KW - absorbing spaces
UR - http://eudml.org/doc/286012
ER -

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