On generalizations of dyadic spaces
On generalizations of Lešnev's theorem
On generalizations of regular-Lindelöf spaces.
On generalized -closed sets.
On generalized Blumberg sets
On generalized Darboux and connectivity functions
On generalized differential quotients of set-valued maps.
On generalized fuzzy strongly semiclosed sets in fuzzy topological spaces.
On generalized games in -spaces
We show that a recent existence result for the Nash equilibria of generalized games with strategy sets in -spaces is false. We prove that it becomes true if we assume, in addition, that the feasible set of the game (the set of all feasible multistrategies) is closed.
On generalized Hausdorff semicontinuity of multifunctions
On generalized homogeneity of locally connected plane continua
The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.
On generalized implicit vector equilibrium problems in topological ordered spaces.
On generalized ordered - and -spaces
On generalized ordered spaces [Book]
On generalized topological spaces I
We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.
On generalized topological spaces II
This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.
On generalized vector topologies
On generalized whitney mappings
On generalized -closed sets.
On Generating Quasi Uniformities.