Octahedra and braids
Omega-categories and chain complexes.
On a homology of algebras with unit
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 with unit...
On Gorenstein flat preenvelopes of complexes
On the notion of precohomology
On three types of simplicial objects
Oriented singular homology.