rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Dimension theory
  title info:
    title: Teoria wymiaru. English
  name:
    name part: Engelking, Ryszard.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    publisher: North-Holland Pub. Co.
    date issued: 1978
    issuance: monographic
  language:
    language term: eng
  language:
    language term: pol
  physical description:
    form: remote
    extent: 1 online resource (x, 314 pages) : illustrations
  abstract: 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.
  table of contents: 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.
  table of contents: 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.
  table of contents: 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.
  table of contents: 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.
  note: Ryszard Engelking.
  note: 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
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 289-305) and index.
  note: English.
  subject:
    topic: Topological spaces
  subject:
    topic: Dimension theory (Topology)
  subject:
    topic: Espaces topologiques
  subject:
    topic: Théorie de la dimension (Topologie)
  subject:
    topic: MATHEMATICS
    topic: Topology
  subject:
    topic: Dimension theory (Topology)
  subject:
    topic: Topological spaces
  subject:
    topic: Dimensionstheorie
  subject:
    topic: Topologischer Raum
  subject:
    topic: Dimensietheorie
  subject:
    topic: Dimension theory (Topology)
  subject:
    topic: Topological spaces
  classification: QA611.3 .E5313 1978eb
  classification: 514/.3
  classification: 31.60
  classification: SK 290
  related item:
    title info:
      title: Dimension theory
    title info:
      title: Teoria wymiaru. English
    name:
      name part: Engelking, Ryszard.
    origin info:
      publisher: Amsterdam ; New York : North-Holland Pub. Co., 1978
    identifier: (DLC) 78012442
    identifier: (OCoLC)4195058
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  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 101101
    record change date: 20260326183836.9
    record identifier: in00005746209
    language of cataloging:
      language term: eng