Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Homology groups and eight-term exact sequences
Homology groups of semicubical sets.
Homology of gaussian groups
We describe new combinatorial methods for constructing explicit free resolutions of by -modules when is a group of fractions of a monoid where enough lest common multiples exist (“locally Gaussian monoid”), and therefore, for computing the homology of . Our constructions apply in particular to all Artin-Tits groups of finite Coexter type. Technically, the proofs rely on the properties of least common multiples in a monoid.
Homology of Lie algebras with coefficients and exact sequences.
Homology of -fold groupoids.
Homology of weighted simplicial complexes
Homology stability for unitary groups.
Homology theory in the alternative set theory I. Algebraic preliminaries
The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called commutative -group), is introduced. Commutative -groups are studied from the set-theoretical point of view and from the point of view of free groups. Commutativity of the operator which is a special kind of inverse limit and factorization, is proved. Tensor product is defined, commutativity of direct product (also a free group construction and tensor product) with the special...
Homology with models
Homotopie des foncteurs en groupes.
Homotopies of small categories
Homotopy classes of truncated resolutions.
Homotopy cofibrations in
Homotopy Colimit of Quasi-join Diagrams
Homotopy colimits in presheaf categories
Homotopy decompositions of orbit spaces and the Webb conjecture
Let p be a prime number. We prove that if G is a compact Lie group with a non-trivial p-subgroup, then the orbit space of the classifying space of the category associated to the G-poset of all non-trivial elementary abelian p-subgroups of G is contractible. This gives, for every G-CW-complex X each of whose isotropy groups contains a non-trivial p-subgroup, a decomposition of X/G as a homotopy colimit of the functor defined over the poset , where sd is the barycentric subdivision. We also...
Homotopy equivalence of isospectral graphs.
Homotopy groups of small categories and derived functors
Homotopy Inverses for Nerve.