On the structure of certain semi-groups of spherical knot classes
On the structure of closed 3-manifolds
We will show that for every irreducible closed 3-manifold M, other than the real projective space P³, there exists a piecewise linear map f: S → M where S is a non-orientable closed 2-manifold of Euler characteristic χ ≡ 2 (mod 3) such that for all x ∈ M, the closure of the set is a cubic graph G such that consists of 1/3(2-χ) + 2 simply connected regions, M - f(S) consists of two disjoint open 3-cells such that f(S) is the boundary of each of them, and f has some additional interesting properties....
On the Structure of Foliated 3-Manifolds Separated by a Compact Leaf
On the structure of Hilbert cube manifolds
On the structure of some irrotational vector fields.
On the structure of the centralizer of a braid
On the Structures of Positively Curved Manifolds with Certain Diameter.
On the Swan Subgroup of Certain Periodic Groups.
On the Symmetries of the Fake C P2.
On the Symplectic Cobordism Ring.
On the topological classification of pseudofree group actions on 4-manifolds. I.
On the topological invariance of the basic cohomology.
On the topological structure of compact 5-manifolds
We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let be a closed connected orientable smooth -manifold with free fundamental group. Then we prove that the number of distinct smooth -manifolds homotopy equivalent to equals the -nd Betti number (mod ) of .
On the topology of double coset manifolds.
On the topology of holomorphic foliations on Hopf manifolds
On the topology of positively curved Bazaikin spaces
We explore some aspects of the topology of the family of 13-dimensional Bazaikin spaces. Using the computation of their homology rings, Pontryagin classes and linking forms, we show that there is only one Bazaikin space that is homotopy equivalent to a homogeneous space, i.e., the Berger space. Moreover, it is easily shown that there are only finitely many Bazaikin spaces in each homeomorphism type and that there are only finitely many positively curved ones for a given cohomology ring. In fact,...
On the topology of spherically symmetric space-times
Spherically symmetric space-times have attained considerable attention ever since the early beginnings of the theory of general relativity. In fact, they have appeared already in the papers of K. Schwarzschild [12] and W. De Sitter [5] which were published in 1916 and 1917 respectively soon after Einstein's epoch-making work [7] in 1915. The present survey is concerned mainly with recent results pertainig to the toplogy of spherically symmetric space-times. Definition. By space-time a connected...
On the torsion groups of the cobordism groups of immersions
On the triangulation of smooth fibre bundles
On the uniform perfectness of groups of bundle homeomorphisms
Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.