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Mixed Cofibration and Mixed Hurewicz Cofibration [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2009
:In this papers we study a new concept namely Mixed cofibration (M- cofibration) and Mixed Hurewicz cofibration (M- Hurewicz cofibration).Most of theorem which are valid for cofibrationwill bealso valid for (M- cofibration) the others will be valid if we
Daher Wali Freh, Abdulsattar Ali Hussien
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Equivariant cofibrations and nilpotency [PDF]

Transactions of the American Mathematical Society, 1981
Let f : B → Y f:B \to Y be a cofibration whose cofiber is a Moore space. We give necessary and sufficient conditions for f f to be induced by a map of the desuspension of the cofiber into B B . These conditions are especially simple if B B and
Robert H. Lewis
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Induced fibrations and cofibrations [PDF]

Transactions of the American Mathematical Society, 1967
Introduction. It is well known that any map is homotopically equivalent to a fiber map, i.e., to the projection of the total space on the base in a fibration. Simple examples, however, reveal that there are maps which fail to be homotopically equivalent to any inclusion of a fiber in the total space, and the problem of characterizing the maps which are
Tudor Ganea
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Homotopy (pre)derivators of cofibration categories and quasicategories [PDF]

, 2018
We prove that the homotopy prederivator of a cofibration category is equivalent to the homotopy prederivator of its associated quasi-category of frames, as introduced by Szumi\l{}o.
Tobias Lenz
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Cofibrations of algebras [PDF]

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
Elyahu Katz
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Takayasu cofibrations revisited [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2015
This note gives a new construction of Takayasu's cofibrations.
Hai Nguyen Dang Ho, Lionel Schwartz
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Enriched cofibration categories [PDF]

, 2015
Cofibration categories are a formalization of homotopy theory useful for dealing with homotopy colimits that exist on the level of models as colimits of cofibrant diagrams. In this paper, we deal with their enriched version. Our main result claims that the category $[\mathcal{C},\mathcal{M}]$ of enriched diagrams equipped with the projective structure ...
Lukáš Vokřínek
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Two results relating nilpotent spaces and cofibrations [PDF]

Proceedings of the American Mathematical Society, 1978
We first prove a Blakers-Massey Theorem for nilpotent spaces: If (X, A) is an n-connected, n ⩾ 1 n \geqslant 1 , pair of nilpotent spaces, then under suitable conditions the map π ∗ ( X , A ) →
Robert H. Lewis
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Fibrations that are cofibrations [PDF]

Proceedings of the American Mathematical Society, 1983
We give necessary and sufficient conditions for a homotopy cartesian square to be homotopy cocartesian. Specializing, we obtain a necessary and sufficient condition for a fibration to be a cofibration. We apply the above to localization of spaces and to acyclic maps.
Juan Alonso
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Frames in cofibration categories [PDF]

Journal of Homotopy and Related Structures, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karol Szumiło
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