On Michael's problem concerning the Lindelöf property in the Cartesian products
On Michálek's fuzzy topological spaces
The aim of this paper is to study some properties of Michálek’s fuzzy topology which are quite different of the classic properties of the Chang’s topology.
On mild and wicked embeddings
On minimal and invariant sets in semidynamical systems.
On minimal centers of attraction and generic points.
On minimal dynamical systems on Boolean algebras
On minimal Hausdorff and minimal Urysohn functions
In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
On minimal ideals in the ring of real-valued continuous functions on a frame
Let be the ring of real-valued continuous functions on a frame . The aim of this paper is to study the relation between minimality of ideals of and the set of all zero sets in determined by elements of . To do this, the concepts of coz-disjointness, coz-spatiality and coz-density are introduced. In the case of a coz-dense frame , it is proved that the -ring is isomorphic to the -ring of all real continuous functions on the topological space . Finally, a one-one correspondence is...
On minimal separating Boolean algebras.
On minimal strongly KC-spaces
In this article we introduce the notion of strongly -spaces, that is, those spaces in which countably compact subsets are closed. We find they have good properties. We prove that a space is maximal countably compact if and only if it is minimal strongly , and apply this result to study some properties of minimal strongly -spaces, some of which are not possessed by minimal -spaces. We also give a positive answer to a question proposed by O. T. Alas and R. G. Wilson, who asked whether every...
On minimal--spaces
An -space is a topological space in which the topology is generated by the family of all -sets (see [N]). In this paper, minimal--spaces (where denotes several separation axioms) are investigated. Some new characterizations of -spaces are also obtained.
On models in the alternative set theory
On modifications of topologies without axioms
On monotone and pointwise splittability
On monotone decompositions of smooth continua
On monotone Lindelöfness of countable spaces
A space is monotonically Lindelöf (mL) if one can assign to every open cover a countable open refinement so that refines whenever refines . We show that some countable spaces are not mL, and that, assuming CH, there are countable mL spaces that are not second countable.
On monotone mappings of continua
On monotone minimal cuscos
On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces
On movability and other similar shape properties