Inverse spectra / (Record no. 4009)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04092pam a2200265 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000004432 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102222837.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090203s1996 ne a |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444822259 (acidfree paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040126 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201105251153 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200902031006 |
| Level of effort used to assign classification | venkatrajand |
| -- | 200902031005 |
| -- | venkatrajand |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA320 |
| Item number | .C478 1996 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.7222 |
| Edition information | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Chigogidze, A. |
| Fuller form of name | (Alex) |
| 9 (RLIN) | 11097 |
| 245 10 - TITLE STATEMENT | |
| Title | Inverse spectra / |
| Statement of responsibility, etc. | A. Chigogidze. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | New York : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 1996. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 421 p. : |
| Other physical details | ill. ; |
| Dimensions | 23 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | North-Holland mathematical library ; |
| Volume/sequential designation | v. 53 |
| 9 (RLIN) | 11098 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 403-418) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface. Inverse Spectra. Preliminary information. Definitions and elementary properties of inverse spectra. Factorizing spectra and the spectral theorem. Infinite-Dimensional Manifolds. Absolute extensors and absolute retracts. Z-sets in AN R-spaces. R - and I -manifolds. Topology of R - and I -manifolds. Incomplete manifolds. Cohomological Dimension. Cohomological dimension. Cell-like mappings raising dimension. Universal space for cohomological dimension. Menger Manifolds. General theory. n-soft mappings of compacta, raising dimension. n-soft mappings of Polish spaces, raising dimension. Further properties of Menger manifolds. Homeomorphism groups. -soft map of onto . Nobeling Manifolds. Strongly A ,n-universal spaces. Pseudo-interiors and pseuod-boundaries of Menger compacta. Geometric pseudo-boundaries. Equivalence of categorical and geometric pseudo-interiors. Equivalence of the Nobeling space and the pseudo-interior of n. Further properties of Nobeling spaces. Open subspaces of Nobeling spaces. General Theory of Absolute Extensors in Dimension n and n-soft Mappings. AN E(n)-spaces and n-soft mappings. Morphisms of spectra and square diagrams. Spectral characterizations of n-soft mappings. Further properties of AE(0)-spaces. Strongly universal spaces. Topology of Non-Metrizable Manifolds. Non-metrizable manifolds. Topological characterization of I -manifolds. Topological characterization of R -manifolds. Trivial bundles. Applications. Uncountable powers of countable discrete spaces. Spectral representations of topological groups. Locally convex linear topological spaces. Shape properties of non-metrizable compacta. Fixed point sets of Tychonov cubes. Compact groups and fixed point sets. Group actions. Baire isomorphisms. Double spectra. Skeletoids in Tychonov cubes. Bibliography. Subject Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 Nobeling 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Spectral theory (Mathematics) |
| 9 (RLIN) | 11099 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Publisher description |
| Uniform Resource Identifier | <a href="http://www.loc.gov/catdir/enhancements/fy0601/96001173-d.html">http://www.loc.gov/catdir/enhancements/fy0601/96001173-d.html</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA320 .C478 1996 | 12080 | 21/12/2024 | 1 | 21/12/2024 | Books |