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Handbook of Set-Theoretic Topology Summary:By Kenneth Kunen
Hardbound. 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 Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties. Foreword This Handbook is designed as an introduction to recent work in set-theoretictopology. It is intended both for students who plan to enter the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. As to prerequisites, our general guideline has been to make this Handbook as self-contained as possible without repeating material that can easily be found in standard texts. In fact, the articles are quite varied in their degree of difficulty. Many of them can be read with only a basic knowledge of set theory and general topology; the reader with only this minimum knowledge might try starting at the articles of Hodel and Weiss. However, other articles require some more advanced knowledge of special areas. For example, the articles by Baumgartner, Juhasz, and Kunen require a knowledge of forcing, the article by Negrepontis requires a knowledge of Banach spaces, and the article by Gardner and Pfeffer requires a knowledge of measure theory; detailed references for these subjects are found in the articles themselves. In general, the articles may be read in any order, except that in a few cases, they occur in pairs, with the first one giving an elementary treatment of a subject and second one giving 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 Ste- phenson on compactness properties. It is intended that the Handbook be usable either as a text or a reference; to this end, the articles contain many detailed proofs of core results, as well as references to the literature for peripheral results for which space seemed insufficient to include all details. The articles also state many open problems 'of current interest, and it is our hope that the Handbook will provide a stimulus for future research. KENNETH KUNEN JERRY E. VAUGHAN password: gigapedia.com password: gigapedia.com Please select one mirror to download
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Sponsored LinksHandbook of Set-Theoretic Topology Keywordsarticles results handbook topology knowledge set theoretic pairs baumgartner weiss detailed hodel advanced giving references vaughan areas kunen cardinal functions juhasz set theoretic topology cardinal functions functions roitman l spaces weiss properties foreword compactness properties advanced results insufficient included description hardbound kenneth kunenHandbook of Set-Theoretic Topology download copyrightThis site does not store Handbook of Set-Theoretic Topology on its server. We only index and link to Handbook of Set-Theoretic Topology provided by other sites. Please contact the content providers to delete Handbook of Set-Theoretic Topology if any and email us, we'll remove relevant links or contents immediately. |
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