Singular homology as a derived functor
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- by G. S. Rinehart PDF
- Trans. Amer. Math. Soc. 174 (1972), 243-256 Request permission
Abstract:
A general theory of relative derived tunctors is applied to the category of topological spaces to obtain singular homology and cohomology, verify the Eilenberg-Streenrod axioms, and show that singular and simplicial theory agree.References
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M. Artin, Grothendieck topologies, Harvard University, Cambridge, Mass., 1962 (mimeographed notes).
- G. S. Rinehart, Note on the homology of a fiber product of groups, Proc. Amer. Math. Soc. 24 (1970), 548–552. MR 257184, DOI 10.1090/S0002-9939-1970-0257184-9
- G. S. Rinehart, Satellites and cohomology, J. Algebra 12 (1969), 295–329. MR 245647, DOI 10.1016/0021-8693(69)90032-5
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 174 (1972), 243-256
- MSC: Primary 18E25; Secondary 55B10
- DOI: https://doi.org/10.1090/S0002-9947-1972-0314937-2
- MathSciNet review: 0314937