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On finite induced crossed modules, and the homotopy 2-type of mapping cones

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On finite induced crossed modules, and the homotopy 2-type of mapping cones. / Wensley, Christopher D.; Brown, Ronald.
In: Theory and application of categories, Vol. 1, 1995, p. 54-71.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Wensley, CD & Brown, R 1995, 'On finite induced crossed modules, and the homotopy 2-type of mapping cones', Theory and application of categories, vol. 1, pp. 54-71. <http://www.tac.mta.ca/tac/volumes/1995/n3/v1n3.pdf>

APA

Wensley, C. D., & Brown, R. (1995). On finite induced crossed modules, and the homotopy 2-type of mapping cones. Theory and application of categories, 1, 54-71. http://www.tac.mta.ca/tac/volumes/1995/n3/v1n3.pdf

CBE

Wensley CD, Brown R. 1995. On finite induced crossed modules, and the homotopy 2-type of mapping cones. Theory and application of categories. 1:54-71.

MLA

Wensley, Christopher D. and Ronald Brown. "On finite induced crossed modules, and the homotopy 2-type of mapping cones". Theory and application of categories. 1995, 1. 54-71.

VancouverVancouver

Wensley CD, Brown R. On finite induced crossed modules, and the homotopy 2-type of mapping cones. Theory and application of categories. 1995;1:54-71.

Author

Wensley, Christopher D. ; Brown, Ronald. / On finite induced crossed modules, and the homotopy 2-type of mapping cones. In: Theory and application of categories. 1995 ; Vol. 1. pp. 54-71.

RIS

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 -