Revistes Catalanes amb Accés Obert (RACO)

Adjunction of $n$-equivalences and triad connectivity

P. J. Witbooi


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 $S \vee X \to S$, $S$ being a sphere.

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