Homologie des espaces fibrés
Homologie des simplexes plongés : une preuve nouvelle du théorème de Lalonde
Homology and cohomology of hypersurfaces with quadratic singular points in generic position
Homology and homotopy groups of the complement of certain family of fibers in a critical point problem.
Homology cobordism group of homology 3-spheres.
Homology Comodules.
Homology Equivalences and a Technique of Ganea.
Homology functors on shape categories
Homology of braid groups and their generalizations
In the paper we give a survey of (co)homologies of braid groups and groups connected with them. Among these groups are pure braid groups and generalized braid groups. We present explicit formulations of some theorems of V. I. Arnold, E. Brieskorn, D. B. Fuks, F. Cohen, V. V. Goryunov and others. The ideas of some proofs are outlined. As an application of (co)homologies of braid groups we study the Thom spectra of these groups.
Homology of Deleted Product Spaces.
Homology of Function Spaces.
Homology of -fold groupoids.
Homology of representable sets
We generalize the notion of cubical homology to the class of locally compact representable sets in order to propose a new convenient method of reducing the complexity of a set while computing its homology.
Homology theory for real analytic and semianalytic sets
Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles
A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.
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 theory in the AST II. Basic concepts, Eilenberg-Steenrod's axioms
Homology functor in the spirit of the AST is defined, its basic properties are studied. Eilenberg-Steenrod axioms for this functor are formulated and established.
Homology theory in the AST III. Comparison with homology theories of Čech and Vietoris
The isomorphism between our homology functor and these of Vietoris and Čech is proved. Introductory result on dimension is proved.
Homology with equationally compact coefficients
Homology with models