Results 71 to 80 of about 3,365 (87)
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2011
The notions of cofibration and fibration are central to homotopy theory. We show that the defining property of a cofiber inclusion map i : A → X is equivalent to the homotopy extension property of the pair (X,A). Thus the inclusion map of a subcomplex into a CW complex is a cofiber map, and so this concept is widespread in topology.
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The notions of cofibration and fibration are central to homotopy theory. We show that the defining property of a cofiber inclusion map i : A → X is equivalent to the homotopy extension property of the pair (X,A). Thus the inclusion map of a subcomplex into a CW complex is a cofiber map, and so this concept is widespread in topology.
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1984
Problems concerning the extension of continuous functions are central to topology. One is given a space X and a subspace A of X. One is also given a space E and a map f: A → E. The question is: does there exist an extension of f over X, i.e. a map g: X → E such that gA = f?
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Problems concerning the extension of continuous functions are central to topology. One is given a space X and a subspace A of X. One is also given a space E and a map f: A → E. The question is: does there exist an extension of f over X, i.e. a map g: X → E such that gA = f?
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Mixed Approximate(Hurewicz) Cofibration
Journal of Wasit for Science and Medicine, 2022In this papers we study a new concept namely (M-approximate cofibration) Mixed Approximate Cofibration and(M-approximate Hurewicz cofibration) Mixed approximate Hurewicz cofibration. Most of theorem which are valid for cofibration will also be valid for (M- cofibration); the others will be valid if we add extra conditions .
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Generalized Cofibration Categories and Global Actions
K-Theory, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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