On locally H-closed spaces and the Fomin H-closed extension
On locally homeomorphic images of irreducible continua
On locally Lipschitz locally compact transformation groups of manifolds
In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the Hilbert-Smith conjecture. It generalizes the classical Bochner-Montgomery-Kuranishi Theorem[1, 9] and also the Repovš-Ščepin Theorem [17] which holds only for Riemannian manifolds.
On locally nonexpansive mappings and local isometries
On locally ordered spaces
On locally -incomparable families of infinite-dimensional Cantor manifolds
The notion of locally -incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally -incomparable families of different types of finite-dimensional Cantor manifolds.
On locally -closed spaces
Si studiano le condizioni sotto cui l’immagine (o l'immagine inversa) di uno spazio localmente -chiuso sia localmente -chiuso.
On locally s-closed spaces.
On locally solid topological lattice groups
Let be a commutative Hausdorff locally solid lattice group. In this paper we prove the following: (1) If has the (iii)-property, then its completion is an order-complete locally solid lattice group. (2) If is order-complete and has the Fatou property, then the order intervals of are -complete. (3) If has the Fatou property, then is order-dense in and has the Fatou property. (4) The order-bound topology on any commutative lattice group is the finest locally solid topology on...
On Luzin spaces
On -adic spaces
On Manes' countably compact, countably tight, non-compact spaces
We give a straightforward topological description of a class of spaces that are separable, countably compact, countably tight and Urysohn, but not compact or sequential. We then show that this is the same class of spaces constructed by Manes [Monads in topology, Topology Appl. 157 (2010), 961--989] using a category-theoretical framework.
On mappings preserving a family of star bodies.
On Mappings With A Contractive Iterate
On mappings with contractive iterate at a point in generalized metric spaces.
On mappings with diminishing orbital diameters.
On maps: Continuous, closed, perfect, and with closed graph.
On maps of spaces determined by countable subspaces
On maps preserving connectedness and/or compactness
We call a function P-preserving if, for every subspace with property P, its image also has property P. Of course, all continuous maps are both compactness- and connectedness-preserving and the natural question about when the converse of this holds, i.e. under what conditions such a map is continuous, has a long history. Our main result is that any nontrivial product function, i.e. one having at least two nonconstant factors, that has connected domain, range, and is connectedness-preserving...
On maps which are perfect with respect to the Hewitt realcompact extension