Homotopy and homology in pretopological spaces
Homotopy characterization of weakly flat knots
Homotopy classes of truncated resolutions.
Homotopy classes that are trivial mod .
Homotopy Classification of Equivariant Regular Sections.
Homotopy classification of nanophrases with at most four letters
We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
Homotopy Classification of Nondegenerate Quasiperiodic Curves on the 2-sphere
Homotopy classification of regular sections
Homotopy cofibrations in
Homotopy Colimit of Quasi-join Diagrams
Homotopy colimits and cohomology with local coefficients
Homotopy colimits in presheaf categories
Homotopy commutativity of finite loop spaces.
Homotopy Decompositions of Equivariant Function Spaces. II. Function Spaces of Equivariantly Triangulated Spaces.
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 Decompostitions of Equivariant Function Spaces.
Homotopy dimension and simple cohomological dimension of spaces.
Homotopy dominations within polyhedra
We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.
Homotopy Equivaleces of Almost Smooth Manifolds
Homotopy equivalence of isospectral graphs.