Cohomotopy groups and shape in the sense of Fox
Stanisław Godlewski (1972)
Fundamenta Mathematicae
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Stanisław Godlewski (1972)
Fundamenta Mathematicae
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Danuta Kołodziejczyk (2007)
Fundamenta Mathematicae
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The notions of capacity and depth of compacta were introduced by K. Borsuk in the seventies together with some open questions. In a previous paper, in connection with one of them, we proved that there exist polyhedra with polycyclic fundamental groups and infinite capacity, i.e. dominating infinitely many different homotopy types (or equivalently, shapes). In this paper we show that every polyhedron with virtually polycyclic fundamental group has finite depth, i.e., there is a bound...
Karol Borsuk (1970)
Fundamenta Mathematicae
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Karol Borsuk (1970)
Fundamenta Mathematicae
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A. Suszycki (1983)
Fundamenta Mathematicae
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Karol Borsuk (1950)
Fundamenta Mathematicae
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Maria Moszyńska (1973)
Fundamenta Mathematicae
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Karol Borsuk (1978)
Fundamenta Mathematicae
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J. Quigley (1973)
Fundamenta Mathematicae
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Hanns Thiemann (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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