| Description |
1 online resource (x, 421 pages) : illustrations |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Series |
North-Holland mathematical library ; v. 53 |
|
North-Holland mathematical library ; v. 53.
|
| Summary |
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 beling 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. |
| Bibliography |
Includes bibliographical references (pages 403-418) and index. |
| Note |
Print version record. |
| Access |
Use copy Restrictions unspecified star MiAaHDL |
| Reproduction |
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL |
| System Details |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
| Processing Action |
digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Language |
English. |
| Subject |
Spectral theory (Mathematics)
|
|
Spectre (Mathématiques)
|
|
Spectral theory (Mathematics)
|
|
Inverses Spektrum
|
|
Théorie spectrale (mathématiques)
|
| Other Form: |
Print version: Chigogidze, A. (Alex). Inverse spectra. Amsterdam ; New York : Elsevier, 1996 0444822259 9780444822253 (DLC) 96001173 (OCoLC)35281163 |
| ISBN |
9780444822253 |
|
0444822259 |
| Standard No. |
AU@ 000048130788 |
|
CHNEW 001006694 |
|
DEBBG BV036962364 |
|
DEBBG BV042317354 |
|
DEBSZ 276225031 |
|
DEBSZ 482356308 |
|
NZ1 12433635 |
|
NZ1 15192903 |
|
