On shape of hyperspaces
On shapes of topological spaces
On singular cut-and-pastes in the 3-space with applications to link theory.
In the study of surfaces in 3-manifolds, the so-called ?cut-and-paste? of surfaces is frequently used. In this paper, we generalize this method, in a sense, to singular-surfaces, and as an application, we prove that two collections of singular-disks in the 3-space R3 which span the same trivial link are link-homotopic in the upper-half 4-space R3 [0,8) keeping the link fixed. Throughout the paper, we work in the piecewise linear category, consisting of simplicial complexes and piecewise linear maps....
On some applications of infinite-dimensional manifolds to the theory of shape
On some weak monomorphisms and weak epimorphisms of pro-HTop*.
Related to Shape Theory, in a previous paper (1992) we studied weak monomorphisms and weak epimorphisms in the category of pro-groups. In this note we give some intrinsic characterizations of the weak monomorphisms and the weak epimorphisms in pro-HTop* in the case when one of the two objects of such a morphism is a rudimentary system.
On spaces of the same strong -type.
On spaces which have the shape of C. W. complexes
On the 2-type of an iterated loop space.
On the Adams spectral sequence for -modules.
On the categorical foundations of homological and homotopical algebra
On the categorical shape of a functor
On the center of the fundamental group of the complement of a hyperplane arrangement.
On the Classification Problem for H-Spaces of Rank Two.
On the cohomology algebra of a fiber.
On the cohomology of mod p homotopy commutative H-spaces.
On the cohomology ring of the free loop space of a wedge of spheres.
On the connection between the topological genus of certain polyhedra and the algebraic genus of their Hilton-Hopt quadratic forms.
The Hilton-Hopf quadratic form is defined for spaces of the homotopy type of a CW complex with one cell each in dimensions 0 and 4n, K cells in dimension 2n and no other cells. If two such spaces are of the same topological genus, then their Hilton-Hopf quadratic forms are of the same weak algebraic genus. For large classes of spaces, such as simply connected differentiable 4-manifolds, the converse is also true, as long as the suspensions of the spaces are also of the same topological genus. This...
On the connectivity of finite subset spaces
We prove that the space of nonempty subsets of cardinality at most k in a bouquet of m+1-dimensional spheres is (m+k-2)-connected. This, as shown by Tuffley, implies that the space is (m+k-2)-connected for any m-connected cell complex X.
On the Construction of Harmonie and Holomorphic Maps Between Surfaces.
On the Construction of New Finite CW H-Spaces.