ABSTRACT

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.

chapter 1|50 pages

Groups

chapter 2|44 pages

Topological Spaces

chapter 3|26 pages

Topological Groups

chapter 4|32 pages

Topological Division Rings

chapter 6|46 pages

Locally Compact Commutative Groups

chapter 7|42 pages

The Concept Of A Lie Group

chapter 8|22 pages

The Structure Of Compact Groups

chapter 9|32 pages

Locally Isomorphic Groups

chapter 10|68 pages

Lie Groups and Lie Algebras

chapter 11|76 pages

The Structure of Compact Lie Groups