Cochain operations defining Steenrod--products in the bar construction.
Cochains and homotopy type
Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E∞ algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E∞ algebras is faithful but not full.
Cofibrations and bicofibrations for C*-algebras.
Coherent and strong expansions of spaces coincide
In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. T. Lisitsa and S. Mardešić [LM1-3] an essential role is played by coherent polyhedral (ANR) expansions of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR) expansion...
Co-H-estructuras sobre la unión puntual de dos Co-H-espacios.
Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes.
Cohomologically Kähler manifolds with no Kähler metrics.
Cohomologie de Hochschild et espaces projectifs tronqués.
Cohomology -algebra and rational homotopy type
In the rational cohomology of a 1-connected space a structure of -algebra is constructed and it is shown that this object determines the rational homotopy type.
Cohomology of some graded differential algebras
We study cohomology algebras of graded differential algebras which are models for Hochschild homology of some classes of topological spaces (e.g. homogeneous spaces of compact Lie groups). Explicit formulae are obtained. Some applications to cyclic homology are given.
Cohomology of the Yang-Mills gauge orbit space and dimensional reduction
Cohomology operations and the Deligne conjecture
The aim of this note, which raises more questions than it answers, is to study natural operations acting on the cohomology of various types of algebras. It contains a lot of very surprising partial results and examples.
Cohomology theories on compact and locally compact spaces.
This paper is devoted to an exposition of cohomology theories on categories of spaces where the cohomology theories satisfy the type of axiom system considered in [1, 12, 16, 17, 18]. The categories considered are Ccomp, the category of all compact Haudorff spaces and continuous functions between them, and Cloc comp, the category of all locally compact Hausdorff spaces and proper continuous functions between them. The fundamental uniqueness theorem for cohomology theories on a finite dimensional...
Cohomotopy groups and shape in the sense of Fox
Co-H-structures on equivariant Moore spaces
Let G be a finite group, the category of canonical orbits of G and b a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A,n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dim X < 2n - 1. If dim X = 2n-1, then the set of comultiplications of X is in one-one correspondence with . Then the case leads to an example of infinitely...
Coincidence index for fiber-preserving maps an approach to stable cohomotopy.
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
Colocalizations and their realizations as spectra.
Commutative ring-spectra of characteristic 2.
Commuting Homotopy Limits.