Reprint

# Topological Groups

## Advances, Surveys, and Open Questions

Edited by

March 2019

160 pages

- ISBN978-3-03897-644-8 (Paperback)
- ISBN978-3-03897-645-5 (PDF)

This book is a reprint of the Special Issue Topological Groups that was published in

Computer Science & Mathematics

Physical Sciences

Summary

Following the tremendous reception of our first volume on topological groups called "Topological Groups: Yesterday, Today, and Tomorrow", we now present our second volume. Like the first volume, this collection contains articles by some of the best scholars in the world on topological groups. A feature of the first volume was surveys, and we continue that tradition in this volume with three new surveys. These surveys are of interest not only to the expert but also to those who are less experienced. Particularly exciting to active researchers, especially young researchers, is the inclusion of over three dozen open questions. This volume consists of 11 papers containing many new and interesting results and examples across the spectrum of topological group theory and related topics. Well-known researchers who contributed to this volume include Taras Banakh, Michael Megrelishvili, Sidney A. Morris, Saharon Shelah, George A. Willis, O'lga V. Sipacheva, and Stephen Wagner.

Format

- Paperback

License and Copyright

© 2019 by the authors; CC BY-NC-ND license

Keywords

descriptive set theory; polish group topologies; right-angled Artin groups; topological group; paratopological group; topological semigroup; absolutely closed topological group; topological group of compact exponent; locally compact group; endomorphism; scale; tree; Neretin’s group; Thompson’s group; p-adic Lie group; large set in a group; vast set; syndetic set; thick set; piecewise syndetic set; Boolean topological group; arrow ultrafilter; Ramsey ultrafilter; coarse structure; coarse space; ballean; varieties of coarse spaces; space of closed subgroups; Chabauty topology; Vietoris topology; Bourbaki uniformity; Gromov’s compactification; group representation; matrix coefficient; semigroup compactification; tame function; dynamical system; continuous inverse algebra; character; maximal ideal; fixed point algebra; extension; pseudocompact; strongly pseudocompact; p-compact; selectively sequentially pseudocompact; pseudo-ω-bounded; non-trivial convergent sequence; separable; free precompact Boolean group; reflexive group; maximal space; ultrafilter space; topological group; Lie group; compact topological semigroup; H-space; mapping cylinder; fibre bundle; separable topological group; subgroup; product; isomorphic embedding; quotient group; free topological group