Topological Groups. Advances, Surveys, and Open Questions

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 fe...

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author Morris, Sidney
author_browse Morris, Sidney
author_facet Morris, Sidney
author_sort Morris, Sidney
collection Directory of Open Access Books
description 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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publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-610102023-12-20T18:40:38Z Topological Groups. Advances, Surveys, and Open Questions Morris, Sidney QA1-939 Q1-390 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 bic Book Industry Communication::P Mathematics & science 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. 2021-02-12T06:04:52Z 2021-02-12T06:04:52Z 2019-03-08 11:42:05 2019 book 32464 9783038976448 https://directory.doabooks.org/handle/20.500.12854/61010 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1157 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-645-5 10.3390/books978-3-03897-645-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038976448 160 open access
spellingShingle QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
Morris, Sidney
Topological Groups. Advances, Surveys, and Open Questions
title Topological Groups. Advances, Surveys, and Open Questions
title_full Topological Groups. Advances, Surveys, and Open Questions
title_fullStr Topological Groups. Advances, Surveys, and Open Questions
title_full_unstemmed Topological Groups. Advances, Surveys, and Open Questions
title_short Topological Groups. Advances, Surveys, and Open Questions
title_sort topological groups advances surveys and open questions
topic QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Q1-390
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
bic Book Industry Communication::P Mathematics & science
url 32464
work_keys_str_mv AT morrissidney topologicalgroupsadvancessurveysandopenquestions