Algebra in the Stone-Cech compactification

Algebra in the Stone-Cech compactification: theory and applications

by Hindman, Neil

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Title Statements

  • Full title :Algebra in the Stone-Cech compactification : theory and applications.

Edition Statements

  • Publication Date:2012.
  • Edition:2nd ed

Publication Statements

  • Publisher(s):De Gruyter
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:2012.

The Physical Object

  • Description:591 blz. ; : .. cm.

Edition Identifiers

  • ISBN:9783110256239, 3110256231
  • oclc:ocn840459734

Table of Contents

Machine generated contents note: I.Background Development -- 1.Semigroups and Their Ideals -- 1.1.Semigroups -- 1.1.1.Partial Semigroups -- 1.2.Idempotents and Subgroups -- 1.3.Powers of a Single Element -- 1.4.Ideals -- 1.5.Idempotents and Order -- 1.6.Minimal Left Ideals -- 1.7.Minimal Left Ideals with Idempotents -- 1.8.Notes -- 2.Right Topological (and Semitopological and Topological) Semigroups -- 2.1.Topological Hierarchy -- 2.2.Compact Right Topological Semigroups -- 2.3.Closures and Products of Ideals -- 2.4.Semitopological and Topological Semigroups -- 2.5.Ellis' Theorem -- 2.6.Notes -- 3.(Sb(BD -- Ultrafilters and The Stone-Cech Compactification of a Discrete Space -- 3.1.Ultrafilters -- 3.2.The Topological Space (Sb(BD -- 3.3.Stone-Cech Compactification -- 3.4.More Topology of (Sb(BD -- 3.5.Uniform Limits via Ultrafilters -- 3.6.The Cardinality of (Sb(BD -- 3.7.Notes -- 3.8.Closing Remarks -- 4.(Sb(BS -- The Stone-Cecch Compactification of a Discrete Semigroup -- 4.1.Extending the Operation to (Sb(BS -- 4.2.Commutativity in (Sb(BS -- 4.3.S -- 4.4.K((Sb(BS) and its Closure -- 4.5.Notions of Size -- 4.6.Notes -- 5.(Sb(BS and Ramsey Theory -- Some Easy Applications -- 5.1.…

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