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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The natural transformation Ξ from L–theory to the Tate cohomology of Z/2 acting on K–theory (constructed in [WW2] and [WW3]) commutes with external products. Corollary: The Tate cohomology of Z/2 acting on the K–theory of any ring with involution is a generalized Eilenberg–MacLane spectrum, and it is 4–periodic.
متن کاملQuillen Spectral Sequences in Homology and Rational Homotopy of Cofibrations
We construct Quillen type spectral sequences in homology and rational homotopy for coobration sequences which are Eckmann-Hilton dual to analogous ones for bration sequences. These spectral sequences are constructed by direct ltrations of the Adams cobar construction. We also prove various collapsing theorems generalizing results of Clark and Smith in the case of a wedge of 1-connected nicely p...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1966
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10800