Topological Groups: Yesterday, Today, Tomorrow by Sidney A. Morris
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About this book :-
This text offering a comprehensive overview of topological group theory. It traces the field's development from foundational questions posed by David Hilbert in 1900 to contemporary research.
It required half a century of effort by several generations of eminent mathematicians until it was settled in the affirmative. These efforts resulted over time in the Peter-Weyl Theorem, the Pontryagin-van Kampen Duality Theorem for locally compact abelian groups, and finally the solution of Hilbert 5 and the structure theory of locally compact groups, through the combined work of Andrew Gleason, Kenkichi Iwasawa, Deane Montgomery, and Leon Zippin.
The volume includes discussions on significant topics such as locally compact groups, free topological groups, and compactness conditions like pseudocompactness. Additionally, it presents open questions, encouraging further exploration in the field. This work is valuable for researchers and students seeking to understand the historical context and future directions of topological group theory.
Book Detail :-
This book has following details information.
Title:
Topological Groups: Yesterday, Today, Tomorrow by Sidney A. Morris by NA
Publisher:
Mdpi
Series:
freeCompBooks
Year:
2016
Pages:
228
Type:
PDF
Language:
English
ISBN-10 #:
3038422681
ISBN-13 #:
978-3038422686
Country:
Pakistan
License:
CC BY 4.0
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. An Overview of Topological Groups: Yesterday, Today, Tomorrow by Sidney A. Morris
2. Pro-Lie Groups: A Survey with Open Problems by Karl H. Hofmann and Sidney A. Morris
3. Non-Abelian Pseudocompact Groups by W. W. Comfort and Dieter Remus
4. Fixed Points of Local Actions of Lie Groups on Real and Complex 2-Manifolds by Morris W. Hirsch
5. Free Boolean Topological Groups by Ol’ga Sipacheva
6. Lindelöf S-Spaces and R-Factorizable Paratopological Groups by Mikhail Tkachenko
7. On T-Characterized Subgroups of Compact Abelian Groups by Saak Gabriyelyan
8. Characterized Subgroups of Topological Abelian Groups by Dikran Dikranjan, Anna Giordano Bruno and Daniele Impieri
9. Locally Quasi-Convex Compatible Topologies on a Topological Group by Lydia Außenhofer, Dikran Dikranjan and Elena Martín-Peinador
10. Open and Dense Topological Transitivity of Extensions by Non-Compact Fiber of Hyperbolic Systems: A Review by Viorel Nitica and Andrei Török
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