Topological Groups and Related Structures

• Main Authors: Arhangel’skii, Alexander (Author), Tkachenko, Mikhail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press, 2008.
• Series: Atlantis Studies in Mathematics, 1
• Subjects: Mathematics.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Algebraic Topology.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitati...

Table of Contents:

• to Topological Groups and Semigroups
• Right Topological and Semitopological Groups
• Topological groups: Basic constructions
• Some Special Classes of Topological Groups
• Cardinal Invariants of Topological Groups
• Moscow Topological Groups and Completions of Groups
• Free Topological Groups
• R-Factorizable Topological Groups
• Compactness and its Generalizations in Topological Groups
• Actions of Topological Groups on Topological Spaces.