Record number :
1581179
Title of article :
The homotopy categorical crossed module of a CW-complex
Author/Authors :
Carrasco، نويسنده , , P. and Cegarra، نويسنده , , A.M. and Garzَn، نويسنده , , A.R.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2007
Pages :
14
From page :
834
To page :
847
Abstract :
Crossed modules have longstanding uses in homotopy theory and the cohomology of groups. The corresponding notion in the setting of categorical groups, that is, categorical crosses modules, allowed the development of a low-dimensional categorical group cohomology. Now, its relevance is also shown here to homotopy types by associating, to any pointed CW-complex ( X , ∗ ) , a categorical crossed module that algebraically represents the homotopy 3-type of X.
Keywords :
Categorical group , ?-groupoid , Cubical set , homotopy type , Crossed module
Journal title :
Topology and its Applications
Serial Year :
2007
Link To Document :
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