On the G-spaces having an -G-CW-approximation by a G-CW-complex of finite G-type
On the Hantzsche-Wendt Manifold.
On the Hawking wormhole horizon entropy.
On the Heegaard genus of contact 3-manifolds
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
On the homeomorphism groups of manifolds and their universal coverings
Let H c(M) stand for the path connected identity component of the group of all compactly supported homeomorphisms of a manifold M. It is shown that H c(M) is perfect and simple under mild assumptions on M. Next, conjugation-invariant norms on Hc(M) are considered and the boundedness of Hc(M) and its subgroups is investigated. Finally, the structure of the universal covering group of Hc(M) is studied.
On the homeotopy group of the non orientable surface of genus three.
On the Homeotopy Groups of Surfaces.
On the homological category of 3-manifolds.
Let M be a closed, connected, orientable 3-manifold. Denote by n(S1 x S2) the connected sum of n copies of S1 x S2. We prove that if the homological category of M is three then for some n ≥ 1, H*(M) is isomorphic (as a ring) to H*(n(S1 x S2)).
On the Homology of Finite Free (Z/2)n-Complexes.
On the homology of Lie groups made discrete.
On the Homology of Metacyclic Coverings.
On the Homology of Non-Connected Monoids and Their Associated Groups
On the homology of SL..., a complement.
On the homology of the Harmonic Archipelago
We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.
On the Homology Structure of Submersions.
On the homotopical classification of DJ-mappings of infnitely dimensional spheres
On the homotopy classification of pairs of linked maps of manifolds into a linear space
On the homotopy embeddability of complexes in Euclidean space. I. The weak thickening theorem.
On the homotopy groups of some equivariant automorphism groups of spheres
On the homotopy invariance of configuration spaces.