Results 101 to 110 of about 3,488 (119)

Fuzzy cofibration and fuzzy Serre cofibration

Journal of Interdisciplinary Mathematics
In this paper, we investigate and present the idea of fuzzy cofibration and fuzzy Serre cofibration and we establish some characteristics and theorems of these concepts. In addition, to studying the fuzzy pullback of a fuzzy cofibration.
Marwah Yasir Mohsin, Daher Waly Al-Baydli   +1 more
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Equiconnectivity and cofibrations I

Manuscripta Mathematica, 1981
In this paper and its sequel, we generalize the notion of local equiconnectivity (LEC) given in [1] to that of h local equiconnectivity. We study these notions systematically using the theory of cofibrations and h cofibrations. Some classical results of locally equiconnected spaces are extended and generalized.
Heath, Philip R., Norton, Graham H.
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Finiteness of Total Cofibres

K-Theory, 2004
Let \(P\) be a polytope, \(F(P)\) the poset of its faces, including \(P\) and \(\emptyset\). Let \(\tilde F(P)\) denote the poset obtained from \(F(P)\) by adding a new element \(\infty\) bigger than any proper face but not comparable to \(P\). Given a diagram \(Y: F(P)\rightarrow Top_{*}\) the author studies the question of homotopy finiteness of the ...
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Cofibrations and fibrations

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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Cofibrations and Fibrations

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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Generalized Cofibration Categories and Global Actions

K-Theory, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decompositions of Localized Fibres and Cofibres

Canadian Mathematical Bulletin, 1988
AbstractIn 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

1999
We 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

1966
Fibred 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

1995
Up 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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