PRINCIPAL COFIBRATIONS AND GENERALIZED CO-H-SPACES

Abstract

For a map p : X ! A, there are concepts of co-H pspaces, co-T p-spaces, which are generalized ones of co-H-spaces [17,18]. For a principal cofibration ir : X ! Cr induced by r : X ′ ! X from (cid:19) : X ′ ! cX ′, we obtain some sufficient conditions to having extensions co-H (cid:22)p-structures and co-T (cid:22)p-structures on Cr of co-H p-structures and co-T p-structures on X respectively. We can also obtain some results about co-H p-spaces and co-T p-spaces in homology decompositions for spaces, which are generalizations of Golasinski and Klein's result about co-H-spaces.

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