Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Kwasik, Sławomir"'
Autor:
Kwasik, Slawomir, Sun, Fang
Two simple "simplicial approximation" tricks are invoked to prove basic results involving (co)-homology with local coefficients.
Externí odkaz:
http://arxiv.org/abs/1801.01148
Autor:
Kwasik, Slawomir, Schultz, Reinhard
The decomposability of a Cartesian product of two nondecomposable manifolds into products of lower dimensional manifolds is studied. For 3-manifolds we obtain an analog of a result due to Borsuk for surfaces, and in higher dimensions we show that sim
Externí odkaz:
http://arxiv.org/abs/1711.11537
Autor:
Jahren, Bjørn, Kwasik, Slawomir
We study the Whitehead torsions of inertial h-cobordisms, and identify various types representing a nested sequence of subsets of the Whitehead group. A number of examples are given to show that these subsets are all different in general.
Externí odkaz:
http://arxiv.org/abs/1711.04546
Autor:
Kwasik, Slawomir, Sun, Fang
The Cartesian squares (powers) of manifolds with the fixed point property (f.p.p.) are considered. Examples of manifolds with the f.p.p. are constructed whose symmetric squares fail to have the f.p.p..
Externí odkaz:
http://arxiv.org/abs/1609.05802
Autor:
Kwasik, Slawomir, Sun, Fang
If a finite group acts topologically, faithfully and orientation preservingly on R^3, then it is isomorphic to a subgroup of SO(3).
Externí odkaz:
http://arxiv.org/abs/1602.05295
This paper discusses topological and locally linear actions of finite groups on $S^4$. Local linearity of the orientation preserving actions on $S^4$ forces the group to be a subgroup of $SO(5)$. On the other hand, orientation reversing topological a
Externí odkaz:
http://arxiv.org/abs/1412.5901
Autor:
Jahren, Bjørn, Kwasik, Slawomir
We study the homeomorphism types of manifolds h-cobordant to a fixed one. Our investigation is partly motivated by the notion of special manifolds introduced by Milnor in his study of lens spaces. In particular we revisit and clarify some of the clai
Externí odkaz:
http://arxiv.org/abs/1209.2644
Autor:
Kwasik, Sławomir, Schultz, Reinhard
Given two compact n-dimensional manifolds in the smooth, piecewise linear or topological categories, basic results of B. Mazur and others give simple criteria for determining whether their products with Euclidean spaces of sufficiently large dimensio
Externí odkaz:
http://arxiv.org/abs/1104.4136
For each nonnegative integer we find an open (4m+9)-dimensional simply-connected manifold admitting complete nonnegatively curved metrics whose souls are non-diffeomorphic, homeomorphic, and have codimension 2. We give a diffeomorphism classification
Externí odkaz:
http://arxiv.org/abs/0912.4874
Publikováno v:
J. Differential Geom. vol.89 (2011), no.1, 49-85
We apply various topological methods to distinguish connected components of moduli spaces of complete Riemannian metrics of nonnegative sectional curvature on open manifolds. The new geometric ingredient is that souls of nearby nonnegatively curved m
Externí odkaz:
http://arxiv.org/abs/0912.4869