On finite induced crossed modules, and the homotopy 2-type of mapping cones
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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Yn: Theory and application of categories, Cyfrol 1, 1995, t. 54-71.
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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TY - JOUR
T1 - On finite induced crossed modules, and the homotopy 2-type of mapping cones
AU - Wensley, Christopher D.
AU - Brown, Ronald
PY - 1995
Y1 - 1995
N2 - Results on the finiteness of induced crossed modules are proved both algebraically and topologically. Using the Van Kampen type theorem for the fundamental crossed module, applications are given to the 2-types of mapping cones of classifying spaces of groups. Calculations of the cohomology classes of some finite crossed modules are given, using crossed complex methods.
AB - Results on the finiteness of induced crossed modules are proved both algebraically and topologically. Using the Van Kampen type theorem for the fundamental crossed module, applications are given to the 2-types of mapping cones of classifying spaces of groups. Calculations of the cohomology classes of some finite crossed modules are given, using crossed complex methods.
KW - crossed modules, homotopy 2-types, generalised van Kampen Theorem, crossed resolution, Postnikov invariant
M3 - Article
VL - 1
SP - 54
EP - 71
JO - Theory and application of categories
JF - Theory and application of categories
SN - 1201-561X
ER -