Topological Groups: Yesterday, Today, Tomorrow by Sidney Morris
Topological Groups: Yesterday, Today, Tomorrow - Table of Contents
PART I: SURVEYS & GROUP STRUCTURES
- 1. An Overview of Topological Groups
- 2. Pro-Lie Groups: A Survey with Open Problems
- 3. Non-Abelian Pseudocompact Groups
- 4. Fixed Points of Local Actions of Lie Groups
- 5. Free Boolean Topological Groups
PART II: SUBGROUPS & DYNAMICS
- 6. Lindelöf S-Spaces and Paratopological Groups
- 7. T-Characterized Subgroups of Compact Groups
- 8. Characterized Subgroups of Topological Groups
- 9. Locally Quasi-Convex Compatible Topologies
- 10. Transitivity of Extensions of Hyperbolic Systems
What You Will Learn in Topological Groups: Yesterday, Today, Tomorrow
Topological Groups: Yesterday, Today, Tomorrow edited by Sidney A. Morris is an authoritative research volume that brings together key surveys and foundational results in abstract topological algebra. This comprehensive collection guides readers through pro-Lie groups, pseudocompact groups, characterized subgroups, and paratopological structures with exceptional mathematical depth and rigor.
Designed for graduate students, topologists, and algebraists, this essential volume bridges classical topological group theory and current research frontiers. The contributing authors provide detailed proofs, historical overviews, and structured open problems across 10 specialized survey chapters. Whether you are investigating duality theory, fixed-point actions, or topological dynamics, this volume offers an invaluable roadmap.
Recognized globally for its authoritative overview of modern developments, it remains one of the best reference books on topological group theory pdf available. By combining fundamental theory with open research problems, it serves as an indispensable tool for mastering modern topological groups with confidence.
Book Details & Specifications
Title:
Topological Groups: Yesterday, Today, Tomorrow by Sidney Morris
Publisher:
MDPI
Year:
2016
Pages:
228
Type:
PDF
Language:
English
ISBN-10 #:
3038422681
ISBN-13 #:
978-3038422686
License:
CC BY-NC-ND
Amazon:
Amazon
About the Author: Sidney A. Morris
The author Sidney A. Morris
(born 1947) is a distinguished Australian mathematician and Emeritus Professor renowned for his fundamental contributions to topological groups, duality theory, and abstract harmonic analysis. He is the author of several widely acclaimed mathematics textbooks, including Topology Without Tears, and has held senior academic leadership roles across Australia and internationally.
Alongside world-class co-contributors such as Karl H. Hofmann, W. W. Comfort, and Dikran Dikranjan, Morris compiled Topological Groups: Yesterday, Today, Tomorrow to chart the past achievements and future directions of the field. His dedication to clear mathematical exposition and research mentorship makes this volume a classic reference for topological algebra that continues to inspire mathematicians worldwide.
Read or Downloadable Topological Groups: Yesterday, Today, Tomorrow
Free Topology Books PDF | Curated Academic Directory