Cardinal Invariants on Boolean Algebras

✍ Scribed by J. Donald Monk (auth.)

• Publisher: Birkhäuser Basel
• Year: 1996
• Tongue: English
• Leaves: 307
• Series: Progress in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

From reviews:

"This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." - Zentralblatt MATH

✦ Table of Contents

Front Matter....Pages i-ix
Introduction....Pages 1-8
Special operations on Boolean algebras....Pages 9-24
Special classes of Boolean algebras....Pages 25-44
Cellularity....Pages 45-85
Depth....Pages 86-106
Topological density....Pages 107-115
π -weight....Pages 116-124
Length....Pages 125-132
Irredundance....Pages 133-144
Cardinality....Pages 145-146
Independence....Pages 147-153
π -Character....Pages 154-163
Tightness....Pages 164-174
Spread....Pages 175-180
Character....Pages 181-189
Hereditary Lindelöf degree....Pages 190-195
Hereditary density....Pages 196-217
Incomparability....Pages 218-225
Hereditary cofinality....Pages 226-231
Number of ultrafilters....Pages 232-232
Number of automorphisms....Pages 233-235
Number of endomorphisms....Pages 236-237
Number of ideals....Pages 238-238
Number of subalgebras....Pages 239-243
Other cardinal functions....Pages 244-247
Diagrams....Pages 248-270
Examples....Pages 271-277
Back Matter....Pages 279-301

✦ Subjects

Mathematical Logic and Foundations; Order, Lattices, Ordered Algebraic Structures