Lattice theory

Author(s)

• Birkhoff, Garrett

Bibliographic Information

Lattice theory

by Garrett Birkhoff

（Colloquium publications / American Mathematical Society, v. 25）

American Mathematical Society, 1993, c1967

3rd ed, 7th printing with corrections

Note

Bibliography: p. 411-413

Includes index

Description and Table of Contents

Description

The purpose of the third edition is threefold: to make the deeper ideas of lattice theory accessible to mathematicians generally, to portray its structure, and to indicate some of its most interesting applications. The 1996 reprint includes expanded and updated Additional References.

Table of Contents

• Types of lattices
• Postulates for lattices
• Structure and representation theory
• Geometric lattices
• Complete lattices
• Universal algebra
• Applications to algebra
• Transfinite induction
• Applications to general topology
• Metric and topological lattices
• Borel algebras and von Neumann lattices
• Applications to logic and probability
• Lattice-ordered groups
• Lattice-ordered monoids
• Vector lattices
• Positive linear operators
• Lattice-ordered rings.

by "Nielsen BookData"

Details

• NCID: BA25867781
• ISBN:
  • 0821810251
• LCCN: 66023707
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: vi, 418 p.
• Size: 26 cm
• Classification:
  • DC19 : 512.7
• Parent Bibliography ID:
  • BA00258036