On smooth manifolds with the homotopy type of a homology sphere

  title={On smooth manifolds with the homotopy type of a homology sphere},
  author={Mehmet Akif Erdal},
  journal={Topology and its Applications},


The group of stable self-equivalences
Groups of Homotopy Spheres, I
DEFINITION. Two closed n-manifolds M, and M2 are h-cobordant1 if the disjoint sum M, + (- M2) is the boundary of some manifold W, where both M1 and (-M2) are deformation retracts of W. It is clear
The classification of free actions of cyclic groups of odd order on homotopy spheres
Consider the cyclic group Zv acting freely on a homotopy sphere S n + 1 . This action is a map juiZ^XS—>2. We shall consider the three cases where the action is smooth, piecewise linear (PL) or
Poincare Complexes: I
Recent developments in differential and PL-topology have succeeded in reducing a large number of problems (classification and embedding, for example) to problems in homotopy theory. The classical
On axiomatic homology theory.
provide a protective representation of H(X) as a direct product. It is easily verified that the singular homology and cohomology theories are additive. Also the Cech theories based on infinite
On the signature of four-manifolds with universal covering spin
In this note we study closed oriented 4-manifolds whose universal covering is spin and ask whether there are restrictions on the divisibility of the signature. Since any natural number appears as the
Fake lens spaces *
A fake lens space is an orbit space of a free action of a finite cyclic group on a sphere and as such it is a generalization of a classical lens space. The invariants of fake lens spaces described
Characteristic Classes
Let (P,M,G) be a principle fibre bundle over M with group G, connection ω and quotient map π. Recall that for all p ∈ P the Lie algebra G is identified with VpP := Kerπp∗ via the derivative of lp : G
K-theory for spherical space forms
On the classification of fake lens spaces
Abstract In the first part of the paper we present a topological classification of fake lens spaces of dimension ≥ 5 whose fundamental group is the cyclic group of order any N ≥ 2. The classification