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Cardinal Functions on Boolean Algebras

✍ Scribed by J. Donald Monk (auth.)

Publisher
Birkhäuser Basel
Year
1990
Tongue
English
Leaves
159
Series
Lectures in Mathematics. ETH Zürich
Edition
1
Category
Library
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✦ Table of Contents

Front Matter....Pages i-vii
Introduction....Pages 1-6
Cellularity....Pages 7-31
Depth....Pages 32-40
Topological Density....Pages 41-46
π -Weight....Pages 47-52
Length....Pages 53-56
Irredundance....Pages 57-65
Cardinality....Pages 66-68
Independence....Pages 69-75
π -Character....Pages 76-81
Tightness....Pages 82-88
Spread....Pages 89-93
Character....Pages 94-98
Hereditary Lindelöf Degree....Pages 99-102
Hereditary Density....Pages 103-104
Incomparability....Pages 105-110
Hereditary Cofinality....Pages 111-116
Number of Ultrafilters....Pages 117-117
Number of Automorphisms....Pages 118-119
Number of Endomorphisms....Pages 120-121
Number of Ideals....Pages 122-122
Number of Subalgebras....Pages 123-125
Back Matter....Pages 127-153

✦ Subjects

Science, general

📜 SIMILAR VOLUMES

Cardinal Invariants on Boolean Algebras
📁 Cardinal Invariants on Boolean Algebras
✍ J. Donald Monk 📂 Library 📅 2009 🏛 Birkhäuser Basel 🌐 English

<P>This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of

Cardinal Invariants on Boolean Algebras
📁 Cardinal Invariants on Boolean Algebras
✍ J. Donald Monk (auth.) 📂 Library 📅 2010 🏛 Birkhäuser Basel 🌐 English

<P>This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of

Cardinal Invariants on Boolean Algebras
📁 Cardinal Invariants on Boolean Algebras
✍ J. Donald Monk (auth.) 📂 Library 📅 1996 🏛 Birkhäuser Basel 🌐 English

<p><P>From reviews: </P><P>"This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." <STRONG>- Zentralblatt MATH</STRONG></P></p>

Cardinal Invariants on Boolean Algebras:
📁 Cardinal Invariants on Boolean Algebras: Second Revised Edition
✍ J. Donald Monk (auth.) 📂 Library 📅 2014 🏛 Birkhäuser Basel 🌐 English

<p><p>This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities

Cardinal Invariants on Boolean Algebras:
📁 Cardinal Invariants on Boolean Algebras: Second Revised Edition
✍ Monk, James Donald 📂 Library 📅 2014 🏛 Birkhäuser 🌐 English

<p>This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of

Cardinal Invariants on Boolean Algebras:
📁 Cardinal Invariants on Boolean Algebras: Second Revised Edition
✍ Monk, J. Donald 📂 Library 📅 2014 🏛 Springer,Birkhäuser 🌐 English

This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of se