On axiomatic approach to homology theory without using the relative groups
Hu, Sze-Tsen (1960)
Portugaliae mathematica
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Displaying similar documents to “Linear bornologies and associated topologies.”
On axiomatic approach to homology theory without using the relative groups
On a homology of algebras with unit
Jacek Dębecki (2014)
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We present a very general construction of a chain complex for an arbitrary (even non-associative and non-commutative) algebra with unit and with any topology over a field with a suitable topology. We prove that for the algebra of smooth functions on a smooth manifold with the weak topology the homology vector spaces of this chain complex coincide with the classical singular homology groups of the manifold with real coefficients. We also show that for an associative and commutative algebra...
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