-homotopy and refinement of observation. II: Adding new -homotopy equivalences.
The Conley index for flows preserving generalized symmetries
Topological spaces with generalized symmetries are defined and extensions of the Conley index of a compact isolated invariant set of the flow preserving the structures introduced are proposed. One of the two new indexes is constructed with no additional assumption on the examined set in terms of symmetry invariance.
The Formal Dimension of a Toplogical Space.
The minimum number of zeros of Lipschitz-Killing curvature.
The monoid of suspensions and loops modulo Bousfield equivalence
The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.
The Nilpotent Model for a Function Space
The shape of a category up to directed homotopy.
The shape of a map
The Structure of Morava Stabilizer Algebras.
The syntax of coherence
The Whitehead Theorem in the theory of shapes
There Are No Essential Phantom Mappings from 1-dimensional CW-complexes
A phantom mapping h from a space Z to a space Y is a mapping whose restrictions to compact subsets are homotopic to constant mappings. If the mapping h is not homotopic to a constant mapping, one speaks of an essential phantom mapping. The definition of (essential) phantom pairs of mappings is analogous. In the study of phantom mappings (phantom pairs of mappings), of primary interest is the case when Z and Y are CW-complexes. In a previous paper it was shown that there are no essential phantom...
T-homotopy and refinement of observation. III. Invariance of the branching and merging homologies.
T-homotopy and refinement of observation. IV. Invariance of the underlying homotopy type.
Three questions of Borsuk concerning movability and fundamental retraction
Topological degrees of set-valued compact fields in locally convex spaces [Book]
Toward a global understanding of .