Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations

Phillip Griffiths,John Morgan

doi:10.1007/978-1-4614-8468-4_7

Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations

Phillip Griffiths, John Morgan

https://doi.org/10.1007/978-1-4614-8468-4_7

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Publication Date: Jan 1, 2013

Affiliation: Princeton University, Stony Brook University

#Eilenberg MacLane Space #Principal Fibrations + Show 7 more

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Abstract

This chapter begins by showing that maps of a CW complex to an Eilenberg–MacLane space are classified by the elements in a cohomology group. Then principal fibrations with fiber an Eilenberg–MacLane space are classified by elements in a similar cohomology group.

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