Cardinal Invariants on Boolean Algebras : Second Revised Edition. 2nd ed. 2014
- 種類:
- 電子ブック
- 責任表示:
- by J. Donald Monk
- 出版情報:
- Basel : Springer Basel : Imprint: Birkhäuser, 2014
- 著者名:
- シリーズ名:
- Progress in Mathematics ; 142
- ISBN:
- 9783034807302 [3034807309]
- 注記:
- 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 sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 185 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) and Cardinal Invariants on Boolean Algebras (1996) by the
- ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
|
Springer New York |
Birkhäuser Verlag |
|
Springer International Publishing : Imprint: Springer |
Springer-Verlag Berlin Heidelberg |
|
Springer International Publishing : Imprint: Springer |
Springer Netherlands |
|
Birkhäuser Verlag |
Springer Netherlands |
|
Birkhäuser Boston |
Springer Science+Business Media, Inc. |
|
Springer Basel : Imprint: Birkhäuser |
Springer Science+Business Media, LLC |
