Topological Groups and Related Structures

This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that o...

ver descrição completa

Na minha lista:

Detalhes bibliográficos
Principais autores:	Arhangel skii, Alexander., Tkachenko, Mikhail., SpringerLink (Online service)
Formato:	Digital
Publicado em:
Assuntos:	Matemática. Teoria dos grupos. Topologia algébrica.
Endereço do item:	http://dx.doi.org/10.2991/978-94-91216-35-0
Tags:	Adicionar Tag Sem tags, seja o primeiro a adicionar uma tag!

id	oai:localhost:123456789-129901
record_format	dspace
spelling	oai:localhost:123456789-1299012023-07-17T15:13:28Z Topological Groups and Related Structures Arhangel skii, Alexander. Tkachenko, Mikhail. SpringerLink (Online service) Matemática. Teoria dos grupos. Topologia algébrica. This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks. The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area. 0 2022-10-06T07:53:13Z 2022-10-06T07:53:13Z 2008. Digital 51 A695t 9789491216350 198010 http://dx.doi.org/10.2991/978-94-91216-35-0 http://dx.doi.org/10.2991/978-94-91216-35-0
institution	Acervo SISBI
collection	SIGAA
topic	Matemática. Teoria dos grupos. Topologia algébrica.
spellingShingle	Matemática. Teoria dos grupos. Topologia algébrica. Arhangel skii, Alexander. Tkachenko, Mikhail. SpringerLink (Online service) Topological Groups and Related Structures
description	This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks. The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.
format	Digital
author	Arhangel skii, Alexander. Tkachenko, Mikhail. SpringerLink (Online service)
author_facet	Arhangel skii, Alexander. Tkachenko, Mikhail. SpringerLink (Online service)
author_sort	Arhangel skii, Alexander.
title	Topological Groups and Related Structures
title_short	Topological Groups and Related Structures
title_full	Topological Groups and Related Structures
title_fullStr	Topological Groups and Related Structures
title_full_unstemmed	Topological Groups and Related Structures
title_sort	topological groups and related structures
publishDate	2022
url	http://dx.doi.org/10.2991/978-94-91216-35-0
work_keys_str_mv	AT arhangelskiialexander topologicalgroupsandrelatedstructures AT tkachenkomikhail topologicalgroupsandrelatedstructures AT springerlinkonlineservice topologicalgroupsandrelatedstructures
_version_	1771689454933639168

Topological Groups and Related Structures

Registros relacionados