Introduction to Topological Groups (eBook)

Taqdir Husain (Autor)

eBook Download: EPUB

2018
240 Seiten
Dover Publications (Verlag)
978-0-486-82820-6 (ISBN)

Infos

Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.

---

Suitable for advanced undergraduates and graduate students in mathematics, this introduction to topological groups presumes familiarity with the elementary concepts of set theory, elements of functional analysis, functions of real and complex variables, and the theory of functions of several variables. Chapters I to V deal with the algebraico-topological aspect of the subject, and Chapters VI to IX emphasize its analytical aspect.After an introductory chapter on the fundamentals of topology and group theory, the treatment explores semitopological groups and the general theory of topological groups. An elementary study of locally compact topological groups is followed by proofs of the open homomorphism and closed graph theorems in a very general setting. Succeeding chapters examine the rudiments of analysis on topological groups. Topics include the Harr measure, finite-dimensional representations of groups, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras.

Autor

Born in India, Taqdir Husain received his Ph.D. from Syracuse University in 1960 and emigrated to Canada the following year. He joined the faculty of McMaster University in Hamilton, Ontario, in 1964 and became a Professor of Mathematics there in 1967. Husain served as MacMaster's Chairman of the Department of Mathematics for many years, and upon his 1994 retirement was named Emeritus Professor of Mathematics.

Inhalt

I. Fundamentals of Topology and Group TheoryII. Semitopological GroupsIII. General Theory of Topological GroupsIV. Locally Compact GroupsV. Open Homomorphisms and Closed GraphsVI. Haar MeasureVII. Finite-dimensional Representations of GroupsVIII. Duality Theory and Some of Its ApplicationsIX. Introduction to Banach AlgebrasBibliographyIndex of SymbolsIndex

Produkt-Details

• Erscheint lt. Verlag: 10.1.2018
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 150 x 150 mm
• Gewicht: 352 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: advanced undergraduates • Banach Algebras • closed graph theorems • compact groups • Complex variables • Duality theory • finite dimensional representations • finite dimensional representations of groups • Functional Analysis • graduate students • harr measure • Homomorphism • Mathematics • science and math • semi-topological • semitopological groups • set theory • Theoretical • Topological Groups • Topology
• ISBN-10: 0-486-82820-4 / 0486828204
• ISBN-13: 978-0-486-82820-6 / 9780486828206