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The Resource A Cp-Theory Problem Book : Compactness in Function Spaces, by Vladimir V. Tkachuk, (electronic resource)

A Cp-Theory Problem Book : Compactness in Function Spaces, by Vladimir V. Tkachuk, (electronic resource)

Creator
Author
Contributor
Summary
This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level. The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology
Language
eng
Work
Publication
Extent
XV, 524 p.
Contents
  • Preface
  • Contents
  • Detailed summary of exercise sections
  • Introduction
  • 1. Behavior of Compactness in Function Spaces
  • 2. Solutions of Problems 001-0500
  • 3. Bonus Results: Some Hidden Statements
  • 4. Open Problems
  • Bibliography
  • List of Special Symbols
  • Index
Isbn
9783319160924
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-16092-4
Instance
Label
A Cp-Theory Problem Book : Compactness in Function Spaces
Title
A Cp-Theory Problem Book
Title remainder
Compactness in Function Spaces
Statement of responsibility
by Vladimir V. Tkachuk
Creator
Contributor
Author
Subject
Language
eng
Summary
This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level. The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology
Member of
http://library.link/vocab/creatorName
Tkachuk, Vladimir V
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
Problem Books in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Algebraic topology
Label
A Cp-Theory Problem Book : Compactness in Function Spaces, by Vladimir V. Tkachuk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-16092-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Contents -- Detailed summary of exercise sections -- Introduction -- 1. Behavior of Compactness in Function Spaces -- 2. Solutions of Problems 001-0500 -- 3. Bonus Results: Some Hidden Statements -- 4. Open Problems -- Bibliography -- List of Special Symbols -- Index
Control code
978-3-319-16092-4
Dimensions
unknown
Extent
XV, 524 p.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319160924
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-16092-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)910963819
Label
A Cp-Theory Problem Book : Compactness in Function Spaces, by Vladimir V. Tkachuk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-16092-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Contents -- Detailed summary of exercise sections -- Introduction -- 1. Behavior of Compactness in Function Spaces -- 2. Solutions of Problems 001-0500 -- 3. Bonus Results: Some Hidden Statements -- 4. Open Problems -- Bibliography -- List of Special Symbols -- Index
Control code
978-3-319-16092-4
Dimensions
unknown
Extent
XV, 524 p.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319160924
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-16092-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)910963819

Subject

Member of

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