AMS Chelsea Publishing(共29册),这套丛书还有 《Analytic Function Theory, Volume II (AMS Chelsea Publishing) (v. 2)》《Set Theory》《Divergent Series (AMS Chelsea Publishing)》《Geometry and the Imagination》《Algebraic Logic (AMS Chelsea Publishing)》等。 我来说两句 短评 ··· ( 全部3 条...
(13) Show that Theorem 2.20 remains true if we replace R by any separable metric space.(14) Show that the following are examples of complete metric spaces which, regardless of the axioms of set theory, are the unions of ω1 closed nowhere dense sets....
M. A. Erceg, Metric spaces in fuzzy set theory, J. Math. Anal. Appl. 69 (1979), 338-353.Metric spaces in fuzzy set theory - Erceg - 1979 () Citation Context ...initially by Zadeh [1] in 1965. Since then, to use this concept in topology and analysis many authors have ...
This chapter focuses on generalizations of metric spaces. If X be a set, then a function d : X3 → is called 2-metric if d is non-negative, totally symmetric, zero conditioned, and satisfies the tetrahedron inequality d (xl, x2, x3)≤ d... MM Deza,E Deza - Springer Berlin Heidelbe...
Chapter 1 Set Theory 1.1 Sets and its Operations 1.1.1 Operations 1.1.2 Rules of operations 1.1.3 Limit of sequence of sets 1.2 Cardinal Number 1.2.1 Cantor-Bernstein Theorem 1.2.2 Cardinal number and its properties 1.3 Subset of 1.3.1 Topology of Euclidean space 1.3.2 Completeness theorems...
domain equation, fixed point, non-well-founded sets, non-standard set theory, metric spaces, partial orders, concurrency, (F -)bisimulation, ordered F ... JJMM Rutten,D Turi,JMM Jan,... - CWI (Centre for Mathematics and Computer Science) 被引量: 148发表: 1997年 Recursion theory and se...
Vienna Research Seminar in Set Theory Time:Thursday, 16 January, 11:30-13:00 CET Speaker:W. Dai, Nankai University, Tianjin, China Title:Universal Δ-metric spaces, Hall’s group and Lévy groups Abstract:In this talk, we study the isometry group Iso(UΔ) of the Δ-metric Urysohn space...
Axiomatic set theory divests symbols and words such as ∈, ⊆, and “set” of their usual meanings and investigates how certain relations between the meaningless symbols and words imply certain other relations. From: Handbook of Analysis and Its Foundations, 1997 ...
The Set-theoretic Multiverse : A Natural Context for Set Theory( Mathematical Logic and Its Applications) This thesis contains a few applications of set-theoretic methods to certain problems in real analysis. In the first two sections of Chapter 1, we discuss s... J Hamkins - 《Annals of th...
Hausdorff noted that there are three basic concepts by means of which one can base a general theory of topological spaces, the notions ofdistance,neighborhoods, andlimits. 注:豪斯多夫注意到距离、邻域和极限这三个基本概念是建立拓扑空间一般理论的基础。他还发现这三个基本概念的关系是:距离蕴涵邻域和极...