Uniformly movable compact spaces and their algebraic properties
Maria Moszyńska (1972)
Fundamenta Mathematicae
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Maria Moszyńska (1972)
Fundamenta Mathematicae
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Maria Moszyńska (1976)
Fundamenta Mathematicae
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J. Dydak, S. Mardešić (2005)
Fundamenta Mathematicae
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We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.
Y. Kodama, J. Ono (1980)
Fundamenta Mathematicae
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Deleanu, Aristide, Hilton, Peter
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Y. Kodama, J. Ono (1979)
Fundamenta Mathematicae
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Jerzy Dydak, Sławomir Nowak (2002)
Fundamenta Mathematicae
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The purpose of this paper is to provide a geometric explanation of strong shape theory and to give a fairly simple way of introducing the strong shape category formally. Generally speaking, it is useful to introduce a shape theory as a localization at some class of “equivalences”. We follow this principle and we extend the standard shape category Sh(HoTop) to Sh(pro-HoTop) by localizing pro-HoTop at shape equivalences. Similarly, we extend the strong shape category of Edwards-Hastings...
Doitchinov, D.
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