Quasiregular Ellipticity of Open and Generalized Manifolds

Quasiregular Ellipticity of Open and Generalized Manifolds

We study the existence of geometrically controlled branched covering maps from R to open 3-manifolds or to decomposition spaces S/G, and from S/G to S. Dedicated to the memory of Fred Gehring, whose work has been our inspiration

On some generalized recurrent manifolds

‎The object of the present paper is to introduce and study a type of non-flat semi-Riemannian manifolds‎, ‎called‎, ‎super generalized recurrent manifolds which generalizes both the notion of hyper generalized recurrent manifolds [‎A.A‎. ‎Shaikh and A‎. ‎Patra‎, On a generalized class of recurrent manifolds‎, Arch‎. ‎Math‎. ‎(Brno) 46 (2010) 71--78‎.] and weakly generalized recurrent manifolds ...

Quasiregular Mappings from a Punctured Ball into Compact Manifolds

We study quasiregular mappings from a punctured unit ball of the Euclidean n-space into compact manifolds. We show that a quasiregular mapping has a limit in the point of punctuation whenever the dimension of the cohomology ring of the compact manifold exceeds a bound given in terms of the dimension and the distortion constant of the mapping.

Generalized Cells in Generalized Manifolds

Topological Groups and Generalized Manifolds

The terminology used in the statement of this theorem, and in what follows, is that of our two previous papers on generalized manifolds [l, 2] , and we assume that the reader is familiar with them. We make, however, one change. We find it convenient to define infinite cycles in the following way: We add to G an ideal point, g, taking as neighborhoods of g those open subsets of G whose closures ...