Change of universe functors in equivariant stable homotopy theory
Chapman's category isomorphism for arbitrary ARs
Chapman's Classification of Shapes. A Proof Using Collapsing.
Characteristic zero loop space homology for certain two-cones
Given a principal ideal domain of characteristic zero, containing 1/2, and a two-cone of appropriate connectedness and dimension, we present a sufficient algebraic condition, in terms of Adams-Hilton models, for the Hopf algebra to be isomorphic with the universal enveloping algebra of some -free graded Lie algebra; as usual, stands for free part, for homology, and for the Moore loop space functor.
Chen–Ruan Cohomology of and
In this work we compute the Chen–Ruan cohomology of the moduli spaces of smooth and stable -pointed curves of genus . In the first part of the paper we study and describe stack theoretically the twisted sectors of and . In the second part, we study the orbifold intersection theory of . We suggest a definition for an orbifold tautological ring in genus , which is a subring of both the Chen–Ruan cohomology and of the stringy Chow ring.
Classification of homotopy classes of equivariant gradient maps
Let V be an orthogonal representation of a compact Lie group G and let S(V),D(V) be the unit sphere and disc of V, respectively. If F: V → ℝ is a G-invariant C¹-map then the G-equivariant gradient C⁰-map ∇F: V → V is said to be admissible provided that . We classify the homotopy classes of admissible G-equivariant gradient maps ∇F: (D(V),S(V)) → (V,V∖0).
Classification of homotopy Dold manifolds.
Classifiying spaces of monoids-applications in geometric combinatorics.
Classifying finite-sheeted covering mappings of paracompact spaces.
The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and 4 of [5]).
Classifying spaces of categories and term rewriting.
Classifying spectra of saturated fusion systems.
Clones of spaces and maps in homotopy theory.
Closed model categories for -types.
Coalgebra Extensions in Two-Stage Postnikov Systems.
Cobordism of immersions and singular maps, loop spaces and multiple points
Cobordismes de plongments et produits homotopiques
Cochain operations and subspace arrangements.
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.