Open subsets of fibrations
J. F. McClendon (1983)
Compositio Mathematica
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J. F. McClendon (1983)
Compositio Mathematica
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R. Goad (1983)
Fundamenta Mathematicae
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West, Robert W. (1968)
Portugaliae mathematica
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James Eells, Jr., Nicolaas H. Kuiper (1969)
Compositio Mathematica
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D. Coram, P. Duvall (1980)
Fundamenta Mathematicae
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F. Croom (1971)
Fundamenta Mathematicae
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Raymond Y. T. Wong (1972)
Compositio Mathematica
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Timothy Porter (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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The aim of this article is to bring together various themes from fairly elementary homotopy theory and to examine them, in part, from a historical and philosophical viewpoint.
Danuta Kołodziejczyk (2003)
Fundamenta Mathematicae
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We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.