-(-) пары расширений минимальных полугрупп преобразований
Parallelizability of Dynamical Systems.
Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Parametric extension of the Poincaré theorem
Parametric general variational-like inequality problem in uniformly smooth Banach space.
Parametrized Cichoń's diagram and small sets
We parametrize Cichoń’s diagram and show how cardinals from Cichoń’s diagram yield classes of small sets of reals. For instance, we show that there exist subsets N and M of and continuous functions such that • N is and , the collection of all vertical sections of N, is a basis for the ideal of measure zero subsets of ; • M is and is a basis for the ideal of meager subsets of ; •. From this we derive that for a separable metric space X, •if for all Borel (resp. ) sets with all...
Paratopological (topological) groups with certain networks
In this paper, we discuss certain networks on paratopological (or topological) groups and give positive or negative answers to the questions in [Lin2013]. We also prove that a non-locally compact, -gentle paratopological group is metrizable if its remainder (in the Hausdorff compactification) is a Fréchet-Urysohn space with a point-countable cs*-network, which improves some theorems in [Liu C., Metrizability of paratopological semitopological groups, Topology Appl. 159 (2012), 1415–1420], [Liu...
Partial Fuzzy Metric Space and Some Fixed Point Results
In this paper, we introduce the concept of partial fuzzy metric on a nonempty set and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.
Partial orders and their semigroups of closed relations.
Partial orders, closed relations and their automorphisms.
Partially ordered sets and some fixed point theorem.
Partially Ordered Sets And Some Fixed Point Theorems
PCA sets and convexity
Three sets occurring in functional analysis are shown to be of class PCA (also called ) and to be exactly of that class. The definition of each set is close to the usual objects of modern analysis, but some subtlety causes the sets to have a greater complexity than expected. Recent work in a similar direction is in [1, 2, 10, 11, 12].
Perfect mappings in topological groups, cross-complementary subsets and quotients
The following general question is considered. Suppose that is a topological group, and , are subspaces of such that . Under these general assumptions, how are the properties of and related to the properties of ? For example, it is observed that if is closed metrizable and is compact, then is a paracompact -space. Furthermore, if is closed and first countable, is a first countable compactum, and , then is also metrizable. Several other results of this kind are obtained....
Periodic orbits indices
Periodic orbits of maps with an infinite number of partition points.
Periodic points of a continuous map of the interval
Periodic points of symmetric product mappings
Periodicity and almost periodicity in Markov lattice semigroups
Periods and entropy for Lorenz-like maps
We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.