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Fuzzy cofibration and fuzzy Serre cofibration
Journal of Interdisciplinary MathematicsIn 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 +1 more
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Equiconnectivity and cofibrations I
Manuscripta Mathematica, 1981In 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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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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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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Annali di Matematica Pura ed Applicata, 1982
The chain complex of a twisted free product A*t, FK, is chain homotopy equivalent to a differential graded algebra, which is identified to be a confibration of algebras as defined by Quillen. Under certain connectivity conditions we obtain a long exact sequence connecting the homologies of A, K, and A*t FK. In particular we derive a long exact sequence
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The chain complex of a twisted free product A*t, FK, is chain homotopy equivalent to a differential graded algebra, which is identified to be a confibration of algebras as defined by Quillen. Under certain connectivity conditions we obtain a long exact sequence connecting the homologies of A, K, and A*t FK. In particular we derive a long exact sequence
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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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