Handbook of set-theoretic topology
著者
書誌事項
Handbook of set-theoretic topology
North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984
- : pbk
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注記
Includes bibliographies and index
内容説明・目次
内容説明
Now also available in paperback, this Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest. In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhasz on cardinal functions; Roitman and Abraham-Todorcevic on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
目次
1. Cardinal Functions I (R. Hodel). 2. Cardinal Functions II (I. Juhasz). 3. The Integers and Topology (E.K. van Douwen). 4. Box Products (S.W. Williams). 5. Special Subsets of the Real Line (A.W. Miller). 6. Trees and Linearly Ordered Sets (S. Todorcevic). 7. Basic S and L (J. Roitman). 8. Martin's Axiom and First Countable S- and L-Spaces (U. Abraham and S. Todorcevic). 9. Covering Properties (D.K. Burke). 10. Generalized Metric Spaces (G. Gruenhage). 11. An Introduction to bv (J. van Mill). 12. Countably Compact and Sequentially Compact Spaces (J.E. Vaughan). 13. Initially k-Compact and Related Spaces (R.M. Stephenson Jr.). 14. The Theory of Nonmetrizable Manifolds (P. Nyikos). 15. Normality versus Collectionwise Normality (F.D. Tall). 16. The Normal Moore Space Conjecture and Large Cardinals (W.G. Fleissner). 17. Dowker Spaces (M.E. Rudin). 18. Products of Normal Spaces (T.C. Przymusinski). 19. Versions of Martin's Axiom (W. Weiss). 20. Random and Cohen Reals (K. Kunen). 21. Applications of the Proper Forcing Axiom (J.E. Baumgartner). 22. Borel Measures (R.J. Gardner and W.F. Pfeffer). 23. Banach Spaces and Topology (S. Negrepontis). 24. Topological Groups (W.W. Comfort).
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