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A 2-groupoid Characterisation of the Cubical Homotopy Pushout.

Authors :
K. A. Hardie
K. H. Kamps
P. J. Witbooi
Source :
Applied Categorical Structures; Jun2004, Vol. 12 Issue 3, p245-255, 11p
Publication Year :
2004

Abstract

We give a 2-track-theoretical characterisation of the homotopy pushout of a 3-corner by recognising the mapping 2-simplex as an initial object in a coherent homotopy category of Hausdorff spaces under a 3-corner with morphisms expressed in terms of the 1-morphisms and 2-morphisms of a homotopy 2-groupoid. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09272852
Volume :
12
Issue :
3
Database :
Complementary Index
Journal :
Applied Categorical Structures
Publication Type :
Academic Journal
Accession number :
22108442