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Interplay between strongly universal spaces and pairs

Tom 386 / 2000

Taras Banakh, Robert Cauty Dissertationes Mathematicae 386 (2000), 1-38 MSC: 57N20 DOI: 10.4064/dm386-0-1

Streszczenie

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 $\mit\Omega$ we also study the question of topological uniqueness of the pair $(M,X)$, where $M=[0,1]^\omega$ or $M=(0,1)^\omega$ and $X$ is a copy of $\mit\Omega$ in $M$ having a locally homotopy negligible complement in~$M$.

Autorzy

  • Taras BanakhDepartment of Mathematics
    Lviv University
    Universytetska 1
    Lviv, 79000, Ukraine
    e-mail
  • Robert CautyUniversité Paris VI
    UFR 920, Boîte courrier 172
    4, Place Jussieu
    75252 Paris Cedex 05, France
    e-mail

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