Comparison of Classifying Spaces and Classifying Topoi
Author : I. Moerdijk
Publisher :
Page : 59 pages
File Size : 49,99 MB
Release : 1992
Category :
ISBN :
Classifying Spaces and Classifying Topoi
Author : Izak Moerdijk
Publisher : Springer
Page : 100 pages
File Size : 34,61 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540449124
Book Description
This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
Classifying Spaces and Classifying Topoi
Author : Izak Moerdijk
Publisher :
Page : 108 pages
File Size : 46,60 MB
Release : 2014-01-15
Category :
ISBN : 9783662189870
Book Description
Classifying Spaces and Fibrations
Author : J. Peter May
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 20,54 MB
Release : 1975
Category : Classifying spaces
ISBN : 0821818554
Book Description
The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.
Equivalences of Classifying Spaces Completed at the Prime Two
Author : Robert Oliver
Publisher : American Mathematical Society(RI)
Page : 102 pages
File Size : 43,60 MB
Release : 2014-09-11
Category : Classifying spaces
ISBN : 9781470404529
Book Description
Introduction Higher limits over orbit categories Reduction to simple groups A relative version of $\Lambda$-functors Subgroups which contribute to higher limits Alternating groups Groups of Lie type in characteristic two Classical groups of Lie type in odd characteristic Exceptional groups of Lie type in odd characteristic Sproadic groups Computations of $\textrm{lim}^1(\mathcal{Z}_G)$ Bibliography
Maps Between Classifying Spaces
Author : W.G. Dwyer
Publisher :
Page : pages
File Size : 11,60 MB
Release : 1987
Category :
ISBN :
Book Description
Classifying Spaces and Their Algebraic Topology
Author : M. A. Steel
Publisher :
Page : 132 pages
File Size : 32,39 MB
Release : 1982
Category : Algebraic topology
ISBN :
Book Description
Sheaves in Geometry and Logic
Author : Saunders MacLane
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 41,85 MB
Release : 1994-10-27
Category : Mathematics
ISBN : 0387977104
Book Description
Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.
Stable Splittings of Classifying Spaces
Author : John Clyde Harris
Publisher :
Page : 92 pages
File Size : 27,31 MB
Release : 1985
Category : Classifying spaces
ISBN :
Book Description
Classifying Topoi for (geometric) Theories and Some of Their Model-theoretic Properties
Author : Claire Kouwenhoven-Gentil
Publisher :
Page : 70 pages
File Size : 13,33 MB
Release : 2001
Category :
ISBN :
