منابع مشابه
Cofibrations and Bicofibrations
The paper deals with the correlated concepts of cofibration and bicofibration in C∗-algebra theory. We study cofibrations of C∗-algebras introduced by Claude Schochet in [9] (see also [7]). Cofibrations are characterized by means of the mapping cylinder C∗-algebras. We also define and analyse the notion of bicofibration for C∗-algebras based on the topological model from [8] (see also [5]). As ...
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Suppose /: X —• Y is a map of 1-connected spaces. In the "stable" range, roughly where the connectivity of Y exceeds the homology, or homotopy, dimension of X, it is well known that / can be extended as a cofibration C — X — Y, or respectively a fibration X — Y — B. A criterion is given for the existence of such extensions in a less restrictive "metastable" range. A main result is that if / is ...
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We consider categories of coalgebras as (co)-fibred over a base category of parameters and analyse categorical constructions in the total category of deterministic and non-deterministic coalgebras.
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We define Anderson-Brown-Cisinski (ABC) cofibration categories, and construct homotopy colimits of diagrams of objects in ABC cofibraction categories. Homotopy colimits for Quillen model categories are obtained as a particular case. We attach to each ABC cofibration category a right derivator. A dual theory is developed for homotopy limits in ABC fibration categories and for left derivators. Th...
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It is proved that there exists a left determined model structure of weak transition systems with respect to the class of monomorphisms and that it restricts to left determined model structures on cubical and regular transition systems. Then it is proved that, in these three model structures, for any higher dimensional transition system containing at least one transition, the fibrant replacement...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1964
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243643