Looking for an inspection copy?
This title is not currently available on inspection
A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract an uncountable subfamily with the finite intersection property. This monograph, which is partly fresh research and partly expository (in the sense that the authors co-ordinate and unify disparate results obtained in several different countries over a period of several decades) is devoted to the systematic use of infinitary combinatorial methods in topology to obtain results concerning chain conditions. The combinatorial tools developed by P. Erdös and the Hungarian school, by Erdös and Rado in the 1960s and by the Soviet mathematician Shanin in the 1940s, are adequate to handle many natural questions concerning chain conditions in product spaces.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 2008
- format: Paperback
- isbn: 9780521090629
- length: 316 pages
- dimensions: 216 x 140 x 18 mm
- weight: 0.4kg
- availability: Available
Table of Contents
1. Some infinitary combinatorics
2. Introducing the chain conditions
3. Chain conditions in products
4. Classes of calibres, using Σ –products
5. Calibres of compact spaces
6. Strictly positive measures
7. Between property (K) and the countable chain condition
8. Classes of compact-calibres, using spaces of ultralilters
9. Pseudo-compactness numbers: examples
10. Continuous functions on product spaces.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×