The category of a map and of a cohomology class
I. Berstein, Tudor Ganea (1962)
Fundamenta Mathematicae
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I. Berstein, Tudor Ganea (1962)
Fundamenta Mathematicae
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Hilton, Peter (1997)
International Journal of Mathematics and Mathematical Sciences
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Klein, John R. (2002)
Algebraic & Geometric Topology
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Timothy Porter (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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J. F. McClendon (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. H. Eggar (1973)
Compositio Mathematica
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C. Elvira-Donazar, L. J. Hernandez-Paricio (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jerrold Siegel (1980)
Fundamenta Mathematicae
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Peter J. Witbooi (1995)
Publicacions Matemàtiques
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We prove a new adjunction theorem for n-equivalences. This theorem enables us to produce a simple geometric version of proof of the triad connectivity theorem of Blakers and Massey. An important intermediate step is a study of the collapsing map S∨X → S, S being a sphere.