General topological spaces

Part 1 of lecture Topology presents the following content: general topology; infinite sets; topological space; continuity; connectedness; convergence; compactness; product of spaces; real functions and spaces of functions; quotient space;...

96p damtuyetha 09-01-2023 8 2   Download

In this paper, we study the systems of generalized multivalued strong vector quasi-equilibrium problem (in short (SQVEP)) real locally convex Hausdorff topological vector spaces. This problem includes as special cases the generalized strong vector quasi-equilibrium problems, quasi-equilibrium problems, equilibrium problems and variational inequality problems.

4p vilexus 30-09-2022 4 2   Download

The purpose of this paper "Linear topological invariants of spaces of holomorphic functions in infinite dimension" is to investigate the existence of generalized solutions for strongly parabolic systems in a cylindrical domain. The decay of the solution at infinity, depending on the right-hand of the equation, is also studied in this article.

18p runordie5 04-07-2022 6 1   Download

In this paper, we establish some existence theorems by using Kakutani-FanGlicksberg fixed-point theorem for generalized quasiequilibrium problems in real locally convex Hausdorff topological vector spaces. Moreover, we also discuss closeness of the solution sets of generalized quasiequilibrium problems. The results presented in the paper improve and extend the main results of Long et al in [3], Plubtieng - Sitthithakerngkietet in [5] and Yang-Pu in [6].

7p nguaconbaynhay 20-10-2019 11 1   Download

We describe the K-ring of the classifying space of the generalized quaternion group in terms of generators and the minimal set of relations. We also compute the order of the main generator in the truncated rings.

5p danhdanh27 07-01-2019 24 2   Download

In this paper, using generalized groups and their generalized actions, we define and study the notion of T-spaces. We study properties of the quotient space of a T-space and we present the conditions that imply the Hausdorff property for it. We also prove some essential results about topological generalized groups.

13p danhdanh27 07-01-2019 15 2   Download

In this paper we study quota complexes (or equivalently in the case of scalar weights, threshold complexes) and how the topology of these quota complexes changes as the quota is changed. This problem is a simple “linear” version of the general question in Morse Theory of how the topology of a space varies with a parameter.

29p tuongvidanh 06-01-2019 21 2   Download

In this paper we propose a definition of generalized KnasterKuratowski-Mazurkiewicz mappings to encompass R-KKM mappings [5], L-KKM mappings [11], T-KKM mappings [18, 19], and many recent existing mappings. Knaster-KuratowskiMazurkiewicz type theorems are established in general topological spaces to generalize known results.

10p miulovesmile2 01-11-2018 19 1   Download

Annals of Mathematics This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]–[CM5] we describe the case where the surfaces are topologically disks on any fixed small scale. Although the focus of this paper, general planar domains, is more in line with [CM6], we will prove a result here (namely, Corollary III.

51p tuanloccuoi 04-01-2013 44 8   Download

The book before the reader is devoted to an exposition of results of investigations carried out mainly over the last 10-15 years concerning certain questions in the theory of quasiconformal mappings. The principal objects of investigation-mappings with bounded distortion- are a kind of n-space analogue of holomorphic functions. As is known, every holomorphic function is characterized geometrically by the fact that the niapping of a planar domain it implements is conformal. In the n-space case the condition of conformality singles out a very narrow class of mappings.

380p hotmoingay 04-01-2013 36 3   Download

In this paper we study the extending of the Matheron theorem for general topological spaces. We also show some examples about the spaces F such that the miss-and-hit topology on those spaces are unseparated or non-Hausdorff. 1. Introduction The Choquet theorem (see [1, 2]) plays very importance role in theory of random sets. The proof of this theorem is based on the Matheron theorem and especially, the locally compact property of the space F , where F is a space of all close subsets of a given space E and F is equipped with the miss-and-hit topology (see [1]). ...

7p tuanlocmuido 19-12-2012 42 1   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Generalized Implicit Vector Equilibrium Problems in Topological Ordered Spaces

9p sting08 18-02-2012 47 3   Download