Free Actions of Finite Groups on Varieties. II.
Free Actions of Finite Groups on Varieties. II. (Erratum).
Free Actions of Some Finite Groups on S3..I.
Free actions on products of spheres: The rational case.
Free and non-free subgroups of the fundamental group of the Hawaiian Earrings
The space which is composed by embedding countably many circles in such a way into the plane that their radii are given by a null-sequence and that they all have a common tangent point is called “The Hawaiian Earrings”. The fundamental group of this space is known to be a subgroup of the inverse limit of the finitely generated free groups, and it is known to be not free. Within the recent move of trying to get hands on the algebraic invariants of non-tame (e.g. non-triangulable) spaces this space...
Free Cyclic Actions on Manifolds.
Free differentiable and actions on homotopy spheres
Free group automorphisms, invariant orderings and topological applications.
Free groups of semigroups in semi-simple Lie groups.
Free Involutions.
Free subgroups of diffeomorphism groups
Frobenius algebras and ambidextrous adjunctions.
Frobenius algebras and skein modules of surfaces in 3-manifolds
For each (commutative) Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations are local and generate the kernel of a certain natural extension of the corresponding topological quantum field theory. In particular the skein module of the 3-ball is isomorphic to the ground ring of the Frobenius algebra. We prove a presentation theorem for the skein module with generators incompressible...
Function groups in Kleinian groups.
Function spaces and adjoints.
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups
Functor of extension in Hilbert cube and Hilbert space
It is shown that if Ω = Q or Ω = ℓ 2, then there exists a functor of extension of maps between Z-sets in Ω to mappings of Ω into itself. This functor transforms homeomorphisms into homeomorphisms, thus giving a functorial setting to a well-known theorem of Anderson [Anderson R.D., On topological infinite deficiency, Michigan Math. J., 1967, 14, 365–383]. It also preserves convergence of sequences of mappings, both pointwise and uniform on compact sets, and supremum distances as well as uniform continuity,...
Functorial and algebraic properties of Browns functor.
Fundamental Group of n-sphere for n ≥ 2
Triviality of fundamental groups of spheres of dimension greater than 1 is proven, [17]
Fundamental group of with no circle action
We show that can be nontrivial for that does not admit any symplectic circle action.