Order, Topology and Preference (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.70
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Print on Demand. This book delves into the connection between order, topology, and preference, exploring how standard order and topology notions, facts, and methods can be used to analyze central topics in preference theory. The author extends the foundations of Gorman's insightful characterization of preference structures by relaxing two of Gorman's postulates to a much weaker postulate: connectivity. It also introduces two new theorems that are likely to be of particular interest to readers. The author demonstrates how a preference relation can be represented by a continuous real-valued function preserving that relation, extending Debreu's celebrated first representation theorem by dropping the separability assumption for the space of prospects. The work extends the theory of preference, particularly Gorman's characterization of the structure of preference relations and their representations. It also contributes to the ongoing research on planning and control for multiple objectives being conducted within the MIPC Group at the Sloan School of Management, M.I.T. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332881116_0
- Title
- Order, Topology and Preference (Classic Reprint)
- Author
- Murat R. Sertel
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332881114
- ISBN 13
- 9781332881116
- Seller catalogs
- Calculus
The topic of Section 4, the theory of preference, is largely but not solely the motivation for the study as a whole. Thus, some of the facts and notions presented before that section are not used at all in Section 4. Sections 1 - 2 are preparatory. Section 3 exploits some consequences of connectivity, especially for normally preordered spaces, thus extending the early work of Eilenberg [5] and Nachbin [9] on order and topology.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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