National Science Library of Georgia

Geometry in a Fréchet contex : (Record no. 515973)

MARC details
000 -LEADER
fixed length control field 02314nam a22003738i 4500
001 - CONTROL NUMBER
control field CR9781316556092
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160213.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn|||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 151112s2016||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781316556092 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781316601952 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA322
Item number .D63 2016
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.732
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dodson, C. T. J.,
Relator term author.
245 10 - TITLE STATEMENT
Title Geometry in a Fréchet contex :
Remainder of title a projective limit approach /
Statement of responsibility, etc C.T.J. Dodson, University of Manchester, George Galanis, Hellenic Naval Academy, Piraeus, Greece, Efstathios Vassiliou, University of Athens, Greece.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2016.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xii, 302 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა London Mathematical Society lecture note series ;
Volume number/sequential designation 428
520 ## - SUMMARY, ETC.
Summary, etc Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Fréchet space, and the non-existence of an exponential map in a Fréchet-Lie group. In this book, the authors describe in detail a new approach that overcomes many of these limitations by using projective limits of geometrical objects modelled on Banach spaces. It will appeal to researchers and graduate students from a variety of backgrounds with an interest in infinite-dimensional geometry. The book concludes with an appendix outlining potential applications and motivating future research.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fréchet spaces.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Banach spaces.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Differential.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Galanis, George
Fuller form of name (George N.),
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Vassiliou, E.
Fuller form of name (Efstathios),
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9781316601952
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title London Mathematical Society lecture note series ;
Volume number/sequential designation 428.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9781316556092">https://doi.org/10.1017/CBO9781316556092</a>

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