An intrinsic characterization of the shape of paracompacta by means of non-continuous single-valued maps.
An introduction to shape theory for the nonspecialist
An invariant for continuous mappings
An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces
An observation on Krull and derived dimensions of some topological lattices
Let , be an algebraic lattice. It is well-known that with its topological structure is topologically scattered if and only if is ordered scattered with respect to its algebraic structure. In this note we prove that, if is a distributive algebraic lattice in which every element is the infimum of finitely many primes, then has Krull-dimension if and only if has derived dimension. We also prove the same result for , the set of all prime elements of . Hence the dimensions on the lattice...
An open-perfect mapping on a hereditarily disconnected space onto a connected space
An R-stable ANR which is not FR-stable
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
Another application of the Effros theorem to the pseudo-arc
Another generalization of the Dugundji extension theorem
Another note on almost continuous mappings and Baire spaces.
Another note on closed -cells in
Another note on Kempisty's generalized continuity.
Another note on Levine's decomposition of continuity.
ANR's and NES's in the category of mappings on metric spaces
Applications of Brézis-Browder principle to the existence of fixed points and endpoint for multifunctions.
Applications of certain R-families
Applications of complete families of continuous functions to the theory of -spaces
Applications of Luzinian separation principles (non-separable case)
Applications of the Fréchet subdifferential
2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.