Ordered Algebraic Structures: Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26–30, 1995 - Hardcover

 
9780792343776: Ordered Algebraic Structures: Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26–30, 1995

Synopsis

The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac­ tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas­ ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.

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Synopsis

This book provides a sampling of recent advances in ordered algebraic structures, with emphasis on developments in areas where general topology, category theory and model theory play a prominent role. The discourse in ordered algebra has been significantly affected by other disciplines, and this volume is representative of that trend. This volume will appeal to mathematicians with a wide range of interests, particularly in topology, and the topology of rings of functions.

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