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Index analysis : (Record no. 420205)

000 -LEADER
fixed length control field 02520cam a22002535i 4500
001 - CONTROL NUMBER
control field 136640
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160314164113.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140606s2014 nyu 000 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447164845
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
Language of cataloging eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.74
Edition number 23
Item number L917
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lowen, R.
245 10 - TITLE STATEMENT
Title Index analysis :
Remainder of title approach theory at work /
Statement of responsibility, etc R. Lowen.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc London :
Name of publisher, distributor, etc Springer-Verlag,
Date of publication, distribution, etc 2015.
300 ## - PHYSICAL DESCRIPTION
Extent xxi, 466 p. :
Other physical details illustrations ;
Dimensions 25 cm.
490 0# - SERIES STATEMENT
Series statement Springer monographs in mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Approach spaces --<br/>2. Topological and metric approach spaces --<br/>3. Approach invariants --<br/>4. Index analysis --<br/>5. Uniform gauge spaces --<br/>6. Extensions of spaces and morphisms --<br/>7. Approach theory meets Topology --<br/>8. Approach theory meets Functional analysis --<br/>9. Approach theory meets Probability --<br/>10. Approach theory meets Hyperspaces --<br/>11. Approach theory meets DCPO?s and Domains --<br/>12. Categorical considerations --<br/>Appendixes --<br/>References --<br/>Index.
520 ## - SUMMARY, ETC.
Summary, etc In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Index theory (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological spaces.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Lost status Not for loan Permanent Location Current Location Date acquired Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 2016-03-04 6218.61 514.74 L917 136640 Books
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


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