On the Homology of Finite Free (Z/2)n-Complexes.
On the winding number and equivariant homotopy classes of maps of manifolds with some finite group actions
Parametrized Borsuk-Ulam problem for projective space bundles
Let π: E → B be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let π’: E’ → B be a vector bundle such that ℤ₂ acts fiber preserving and freely on E and E’-0, where 0 stands for the zero section of the bundle π’: E’ → B. For a fiber preserving ℤ₂-equivariant map f: E → E’, we estimate the cohomological dimension of the zero set . As an application, we also estimate the cohomological dimension of the ℤ₂-coincidence set of a fiber preserving...
Parametrized Borsuk-Ulam theorems.
Periodic homeomorphisms on and cubes with torus knotted holes
...p-Operationen auf rationalen Homologiesphären mit vorgeschriebener Fixpunktmenge.
Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action
Let (X,A) be a pair of topological spaces, T : X → X a free involution and A a T-invariant subset of X. In this context, a question that naturally arises is whether or not all continuous maps have a T-coincidence point, that is, a point x ∈ X with f(x) = f(T(x)). In this paper, we obtain results of this nature under cohomological conditions on the spaces A and X.
Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.
Smith theory and quasi-periodicity in Bredon cohomology
Smith theory and the functor T.
Smith theory for algebraic varieties.
Suites spectrales de Hochschild-Serre à coefficients dans un espace semi-normé.
In this paper, we prove the existence of the theory of spectral sequences in the category of real semi normed spaces. Using this theory, we associate to any extension of discrete groups the Hochschild-Serre spectral sequence in bounded cohomology with coefficients. In addition, we give the explicit expression of the first and the second term of this spectral sequence without further hypothesis.
The Equivariant Bundle Subtraction Theorem and its applications
In the theory of transformation groups, it is important to know what kind of isotropy subgroups of G do occur at points of the space upon which the given group G acts. In this article, for a finite group G, we prove the Equivariant Bundle Subtraction Theorem (Theorem 2.2) which allows us to construct smooth G-manifolds with prescribed isotropy subgroups around the G-fixed point sets. In Theorem 0.1, we restate Oliver's result about manifolds M and G-vector bundles over M that occur, respectively,...
The Smith Conjecture in dimension four and equivariant gauge theory.
Théorie de Smith algébrique et classification des --injectifs
Über projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen.
When projective does not imply flat, and other homological anomalies.
Гомотопический аналог теоремы Хелли и существование квазинеподвижных точек.
Две теоремы из теории переодических преобразований
Дополнительные структуры в теории Смита