Results 81 to 90 of about 3,075 (93)
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Decompositions of Localized Fibres and Cofibres
Canadian Mathematical Bulletin, 1988AbstractIn this paper p-local versions of the Rational Fibre and Cofibre Decomposition Theorems are given. In particular, if there exists an element in the nth Gottlieb group of a space F such that its image under the Hurewicz map has infinite order, then Sn for almost all primes p. A dual result is proved for cofibrations.
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Complexes in Cofibration Categories
1999We introduce “complexes” and “cellular objects” in cofibration categories which correspond to CW-complexes in algebraic topology. We prove a general Whitehead theorem for complexes and for cellular objects. This theorem yields as specialization most of the various Whitehead theorems proved independently in different fields of the literature.
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Fibred and Cofibred Categories
1966Fibred categories were introduced by Gkothendieck in [SGA] and [BB190]. As far as I know these are the only easily available references to the subject. Through sheer luck, during the final preparation of this paper I obtained a copy of handwritten notes [BN] of a seminar given by Chevalley at Berkeley in 1962 which treated these questions from a ...
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Algebraic Examples of Cofibration Categories
1995Up to now we have mentioned only one example of a cofibration category, namely topological spaces. Actually, the notion of cofibration category is an attempt to axiomatize the minimal properties to get a “good” homotopy theory. This chapter gives some algebraic instances of cofibration categories. We focus our attention on two cases, the categories CDA
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ON FIBRATIONS WHICH ARE ALSO COFIBRATIONS
The Quarterly Journal of Mathematics, 1979openaire +4 more sources