Keywords:
Spectral theory (Mathematics)
;
Spectral theory (Mathematics)
;
Spectral theory (Mathematics)
;
Inverses Spektrum
;
Mathematics
;
Calculus
;
Physical Sciences & Mathematics
;
Théorie spectrale (mathématiques)
;
Electronic books
;
Inverses Spektrum
Description / Table of Contents:
This is a comprehensive introduction into the method of inverse spectra - a powerful method successfully employed in various branches of topology. The notion of an inverse sequence and its limits, first appeared in the well-known memoir by Alexandrov where a special case of inverse spectra - the so-called projective spectra - were considered. The concept of an inverse spectrum in its present form was first introduced by Lefschetz. Meanwhile, Freudental, had introduced the notion of a morphism of inverse spectra. The foundations of the entire method of inverse spectra were laid down in these basic works. Subsequently, inverse spectra began to be widely studied and applied, not only in the various major branches of topology, but also in functional analysis and algebra. This is not surprising considering the categorical nature of inverse spectra and the extraordinary power of the related techniques. Updated surveys (including proofs of several statements) of the Hilbert cube and Hilbert space manifold theories are included in the book. Recent developments of the Menger and N§øbeling manifold theories are also presented. This work significantly extends and updates the author's previously published book and has been completely rewritten in order to incorporate new developments in the field
Type of Medium:
Online Resource
Pages:
Online Ressource (x, 421 p.)
,
graph. Darst.
Edition:
Online-Ausg. Amsterdam Elsevier Science & Technology 2007 Online-Ressource Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
ISBN:
9780444822253
,
0444822259
Series Statement:
North-Holland mathematical library v. 53
URL:
http://www.sciencedirect.com/science/book/9780444822253
URL:
http://www.sciencedirect.com/science/bookseries/09246509/53
URL:
https://www.sciencedirect.com/science/bookseries/09246509/53
URL:
http://www.loc.gov/catdir/enhancements/fy0601/96001173-d.html
URL:
https://zbmath.org/?q=an:0934.54001
URL:
https://external.dandelon.com/download/attachments/dandelon/ids/DE011D94F19BDCB266495C12573A700404770.pdf
Language:
English
Note:
Includes bibliographical references (p. 403-418) and index. - Description based on print version record
,
This is a comprehensive introduction into the method of inverse spectra - a powerful method successfully employed in various branches of topology. The notion of an inverse sequence and its limits, first appeared in the well-known memoir by Alexandrov where a special case of inverse spectra - the so-called projective spectra - were considered. The concept of an inverse spectrum in its present form was first introduced by Lefschetz. Meanwhile, Freudental, had introduced the notion of a morphism of inverse spectra. The foundations of the entire method of inverse spectra were laid down in these basic works. Subsequently, inverse spectra began to be widely studied and applied, not only in the various major branches of topology, but also in functional analysis and algebra. This is not surprising considering the categorical nature of inverse spectra and the extraordinary power of the related techniques. Updated surveys (including proofs of several statements) of the Hilbert cube and Hilbert space manifold theories are included in the book. Recent developments of the Menger and Ṉbeling manifold theories are also presented. This work significantly extends and updates the author's previously published book and has been completely rewritten in order to incorporate new developments in the field
,
Electronic reproduction; Mode of access: World Wide Web
,
English
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