Topological Groups. Advances, Surveys, and Open Questions

• Main Author: Morris, Sidney (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: coarse structure; descriptive set theory; group representation; thick set; free topological group; character; selectively sequentially pseudocompact; separable topological group; quotient group; Chabauty topology; pseudo-?-bounded; topological group; free precompact Boolean group; right-angled Artin groups; Neretin's group; coarse space; ultrafilter space; endomorphism; separable; absolutely closed topological group; tree; strongly pseudocompact; Gromov's compactification; dynamical system; semigroup compactification; tame function; compact topological semigroup; vast set; space of closed subgroups; reflexive group; Lie group; matrix coefficient; maximal ideal; topological semigroup; ballean; continuous inverse algebra; extension; subgroup; Thompson's group; scale; isomorphic embedding; arrow ultrafilter; H-space; paratopological group; pseudocompact; Ramsey ultrafilter; fibre bundle; locally compact group; product; large set in a group; Vietoris topology; topological group of compact exponent; Bourbaki uniformity; p-compact; mapping cylinder; syndetic set; p-adic Lie group; Boolean topological group; non-trivial convergent sequence; fixed point algebra; polish group topologies; varieties of coarse spaces; piecewise syndetic set; maximal space
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.