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Topological Groups. Advances, Surveys, and Open Questions
Sidney Morris
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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.
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Keywords
- absolutely closed topological group
- arrow ultrafilter
- ballean
- Boolean topological group
- Bourbaki uniformity
- Chabauty topology
- Character
- coarse space
- coarse structure
- compact topological semigroup
- continuous inverse algebra
- descriptive set theory
- dynamical system
- endomorphism
- extension
- fibre bundle
- fixed point algebra
- free precompact Boolean group
- free topological group
- Gromov’s compactification
- group representation
- H-space
- isomorphic embedding
- large set in a group
- Lie group
- locally compact group
- mapping cylinder
- matrix coefficient
- maximal ideal
- maximal space
- Neretin’s group
- non-trivial convergent sequence
- p-adic Lie group
- p-compact
- paratopological group
- piecewise syndetic set
- polish group topologies
- Product
- pseudo-?-bounded
- pseudo-ω-bounded
- pseudocompact
- quotient group
- Ramsey ultrafilter
- reflexive group
- right-angled Artin groups
- Scale
- selectively sequentially pseudocompact
- semigroup compactification
- separable
- separable topological group
- space of closed subgroups
- strongly pseudocompact
- subgroup
- syndetic set
- tame function
- thick set
- Thompson’s group
- topological group
- topological group of compact exponent
- topological semigroup
- tree
- ultrafilter space
- varieties of coarse spaces
- vast set
- Vietoris topology
Links
DOI: 10.3390/books978-3-03897-645-5Editions
