-movable and -calm compacta and their images
-continuous mappings and their decomposition.
-continuous functions.
1/2-Homogeneous hyperspace suspensions
We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
3-dimensional AR's which do not contain 2-dimensional ANR's
...-Applications dans une variété
...-Closed Mappings.
ℓp-Movable At Infinity Spaces, Compact And Divisors And Property UVWn
Łukasiewicz tribes are absolutely sequentially closed bold algebras
We show that each sequentially continuous (with respect to the pointwise convergence) normed measure on a bold algebra of fuzzy sets (Archimedean -algebra) can be uniquely extended to a sequentially continuous measure on the generated Łukasiewicz tribe and, in a natural way, the extension is maximal. We prove that for normed measures on Łukasiewicz tribes monotone (sequential) continuity implies sequential continuity, hence the assumption of sequential continuity is not restrictive. This yields...
(Quasi)-uniformities on the set of bounded maps.
*-Topological properties.
-continuous and -irresolute multifunctions
Recently Popa and Noiri [10] established some new characterizations and basic properties of -continuous multifunctions. In this paper, we improve some of their results and examine further properties of -continuous and -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].
-continuous multivalued maps
--preirresolute functions and -preirresolute functions.
-open sets and -bicontinuity in ditopological texture spaces.
-connectedness and -connectedness of topological spaces
-sets and -continuous functions.
-closed graph theorem
--continuous functions.
-regular spaces.