Cargando…

Dimension theory /

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings,...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Engelking, Ryszard
Formato: Electrónico eBook
Idioma:Inglés
Polaco
Publicado: Amsterdam ; New York : North-Holland Pub. Co., 1978.
Colección:North-Holland mathematical library ; v. 19.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

LEADER 00000cam a2200000 a 4500
001 SCIDIR_ocn676695861
003 OCoLC
005 20231117032817.0
006 m o d
007 cr cnu---unuuu
008 101101s1978 ne a ob 001 0 eng d
040 |a N$T  |b eng  |e pn  |c N$T  |d OCLCE  |d OCLCQ  |d E7B  |d OPELS  |d OCLCQ  |d OPELS  |d OCLCF  |d YDXCP  |d EBLCP  |d OCLCQ  |d COO  |d OCLCQ  |d DEBSZ  |d OCLCQ  |d OCLCO  |d OCLCQ  |d LEAUB  |d VLY  |d LUN  |d S2H  |d OCLCO  |d OCLCQ  |d OCLCO  |d COM  |d OCLCQ  |d OCLCO 
019 |a 428097307  |a 557981875  |a 649311857  |a 649907652  |a 813230955  |a 1086443754  |a 1162098756 
020 |a 9780080954264  |q (electronic bk.) 
020 |a 008095426X  |q (electronic bk.) 
020 |a 1283525496 
020 |a 9781283525497 
020 |a 9786613837943 
020 |a 6613837946 
020 |z 0444851763 
020 |z 9780444851765 
035 |a (OCoLC)676695861  |z (OCoLC)428097307  |z (OCoLC)557981875  |z (OCoLC)649311857  |z (OCoLC)649907652  |z (OCoLC)813230955  |z (OCoLC)1086443754  |z (OCoLC)1162098756 
041 1 |a eng  |h pol 
042 |a dlr 
050 4 |a QA611.3  |b .E5313 1978eb 
072 7 |a MAT  |x 038000  |2 bisacsh 
082 0 4 |a 514/.3  |2 22 
084 |a 31.60  |2 bcl 
084 |a SK 290  |2 rvk 
100 1 |a Engelking, Ryszard. 
240 1 0 |a Teoria wymiaru.  |l English 
245 1 0 |a Dimension theory /  |c Ryszard Engelking. 
260 |a Amsterdam ;  |a New York :  |b North-Holland Pub. Co.,  |c 1978. 
300 |a 1 online resource (x, 314 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a North-Holland mathematical library ;  |v v. 19 
504 |a Includes bibliographical references (pages 289-305) and index. 
588 0 |a Print version record. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a 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.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a Front Cover; Dimension Theory; Copyright Page; Contents; Preface; Chapter 1. Dimension Theory of Separable Metric Spaces; 1.1. Definition of the small inductive dimension; 1.2. The separation and enlargement theorems for dimension 0; 1.3. The sum, Cartesian product, universal space, compactification and embedding theorems for dimension 0; 1.4. Various kinds of disconnectedness; 1.5. The sum, decomposition, addition, enlargement, separation and Cartesian product theorems; 1.6. Definitions of the large inductive dimension and the covering dimension. Metric dimension. 
505 8 |a 1.7. The compactification and coincidence theorems. Characterization of dimension in terms of partitions1.8. Dimensional properties of Euclidean spaces and the Hilbert cube. Infinite-dimensional spaces; 1.9. Characterization of dimension in terms of mappings to spheres. Cantor-manifolds. Cohomological dimension; 1.10. Characterization of dimension in terms of mappings to polyhedra; 1.11. The embedding and universal space theorems; 1.12. Dimension and mappings; 1.13. Dimension and inverse sequences of polyhedra.; 1.14. Dimension and axioms; Chapter 2. The Large Inductive Dimension. 
505 8 |a 2.1. Hereditarily normal and strongly hereditarily normal spaces2.2. Basic properties of the dimension Ind in normal and hereditarily normal spaces; 2.3. Basic properties of the dimension Ind in strongly hereditarily normal spaces; 2.4. Relations between the dimensions ind and Ind . Cartesian product theorems for the dimension Ind; Chapter 3. The Covering Dimension; 3.1. Basic properties of the dimension dim in normal spaces. Relations between the dimensions ind, Ind and dim; 3.2. Characterizations of the dimension dim in normal spaces. Cartesian product theorems for the dimension dim. 
505 8 |a 3.3. The compactification and the universal space theorems for the dimension dim. The dimension dim and inverse systems of compact spacesChapter 4. Dimension Theory of Metrizable Spaces; 4.1. Basic properties of dimension in metrizable spaces; 4.2. Characterizations of dimension in metrizable spaces. The universal space theorem; 4.3. Dimension and mappings in metrizable spaces; Bibliography; List of special symbols; Author index; Subject index. 
520 |a This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. 
546 |a English. 
650 0 |a Topological spaces. 
650 0 |a Dimension theory (Topology) 
650 6 |a Espaces topologiques.  |0 (CaQQLa)201-0041967 
650 6 |a Th�eorie de la dimension (Topologie)  |0 (CaQQLa)201-0022543 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Dimension theory (Topology)  |2 fast  |0 (OCoLC)fst00893848 
650 7 |a Topological spaces  |2 fast  |0 (OCoLC)fst01152689 
650 7 |a Dimensionstheorie  |2 gnd  |0 (DE-588)4149935-9 
650 7 |a Topologischer Raum  |2 gnd  |0 (DE-588)4137586-5 
650 1 7 |a Dimensietheorie.  |2 gtt 
776 0 8 |i Print version:  |a Engelking, Ryszard.  |s Teoria wymiaru. English.  |t Dimension theory.  |d Amsterdam ; New York : North-Holland Pub. Co., 1978  |z 0444851763  |w (DLC) 78012442  |w (OCoLC)4195058 
830 0 |a North-Holland mathematical library ;  |v v. 19. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780444851765  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/19  |z Texto completo 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=19  |z Texto completo