On absolute fixed-point sets
On absolute retracts, P(S) and complemented subspaces of
On Absolutely Closed Multivalued Mappings of Topological Spaces
On accretive multivalued mappings in Banach spaces
On almost and weak forms of continuity of functions and multifunctions
On almost coincidence points in generalized convex spaces.
On almost continuity and expansion of open sets.
On almost discrete space
Let be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of . The intersection of essential weak ideal in is also studied.
On almost precontinuous functions.
On almost quasicontinuity
The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).
On almost quasicontinuous functions
A function is said to be almost quasicontinuous at if for each neighbourhood of . Some properties of these functions are investigated.
On an affirmative answer to Y. Tanaka's and Y. Ge's problem
In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.
On analytical dimension of rings of bounded uniformly continuous functions
On analyticity in cosmic spaces
We prove that a cosmic space (= a Tychonoff space with a countable network) is analytic if it is an image of a -analytic space under a measurable mapping. We also obtain characterizations of analyticity and -compactness in cosmic spaces in terms of metrizable continuous images. As an application, we show that if is a separable metrizable space and is its dense subspace then the space of restricted continuous functions is analytic iff it is a -space iff is -compact.
On AP and WAP spaces
Several remarks on the properties of approximation by points (AP) and weak approximation by points (WAP) are presented. We look in particular at their behavior in product and at their relationships with radiality, pseudoradiality and related concepts. For instance, relevant facts are: (a) There is in ZFC a product of a countable WAP space with a convergent sequence which fails to be WAP. (b) over -compact space is AP. Therefore AP does not imply even pseudoradiality in function spaces, while...
On Applications of Bing-Krasinkiewicz-Lelek Maps
We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.
On approximate n-connectedness
On approximately semiopen maps in topological spaces.
On approximation by step multifunctions without compactness conditions
On approximation of Baire functions by Darboux functions