Bredon cohomology: Difference between revisions

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	The Bredon cohomology is a ] that is a contravariant functor from the category of ''G''-~~complex~~ with equivariant homotopy maps to the category of abelian ~~groups~~ together with the connecting homomorphism satisfying		The '''Bredon cohomology''', introduced by ], is a type of ] that is a ] from the ] of <math>G</math>-complexes with equivariant ] maps to the category of ]s together with the connecting ] satisfying some conditions.
	*

	== References ==		== References ==
			*{{citation
⚫	* ~~G.E.~~ ~~Bredon,~~ "Equivariant cohomology theories~~" , Springer (1967)~~
			\| last = Bredon \| first = Glen E. \| authorlink = Glen Bredon
	* S. Illman, Equivariant singular homology and cohomology Bull. Amer. Math. Soc. Volume 79, Number 1 (1973), 188-192.
			\| mr = 0214062
			\| publisher = Springer
			\| series = Lecture Notes in Mathematics
		⚫	\| title = Equivariant cohomology theories
			\| volume = 34 \|date=2006 \|url={{GBurl\|m556CwAAQBAJ\|pg=PP6}} \|isbn=978-3-540-34973-0
			\| orig-year = 1967}}
			*{{citation
			\| last = Illman \| first = Sören
			\| doi = 10.1090/S0002-9904-1973-13148-9
			\| journal = ]
			\| mr = 0307220
			\| pages = 188–192
			\| title = Equivariant singular homology and cohomology
			\| volume = 79
			\| year = 1973\| doi-access = free
			}}





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Latest revision as of 03:04, 10 December 2024

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The Bredon cohomology, introduced by Glen E. Bredon, is a type of equivariant cohomology that is a contravariant functor from the category of $G$ -complexes with equivariant homotopy maps to the category of abelian groups together with the connecting homomorphism satisfying some conditions.

References

Bredon, Glen E. (2006) , Equivariant cohomology theories, Lecture Notes in Mathematics, vol. 34, Springer, ISBN 978-3-540-34973-0, MR 0214062
Illman, Sören (1973), "Equivariant singular homology and cohomology", Bulletin of the American Mathematical Society, 79: 188–192, doi:10.1090/S0002-9904-1973-13148-9, MR 0307220

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