國立虎尾科技大學 |

A Cp-Theory Problem Book = Compactness in Function Spaces /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A Cp-Theory Problem Book/ by Vladimir V. Tkachuk.
Reminder of title:	Compactness in Function Spaces /
Author:	Tkachuk, Vladimir V.
Description:	XV, 524 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic topology. -
Online resource:	https://doi.org/10.1007/978-3-319-16092-4
ISBN:	9783319160924

A Cp-Theory Problem Book = Compactness in Function Spaces /
Tkachuk, Vladimir V.

A Cp-Theory Problem BookCompactness in Function Spaces /[electronic resource] :by Vladimir V. Tkachuk. - 1st ed. 2015. - XV, 524 p.online resource. - Problem Books in Mathematics,0941-3502. - Problem Books in Mathematics,.

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.

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.

ISBN: 9783319160924

Standard No.: 10.1007/978-3-319-16092-4doiSubjects--Topical Terms:

678206
Algebraic topology.

LC Class. No.: QA612-612.8

Dewey Class. No.: 514.2

A Cp-Theory Problem Book = Compactness in Function Spaces /
LDR:03122nam a22004095i 4500 001 965404
003 DE-He213
005 20200701085611.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319160924 $9 978-3-319-16092-4
024 7 $a 10.1007/978-3-319-16092-4 $2 doi
035 $a 978-3-319-16092-4
050 4 $a QA612-612.8
072 7 $a PBPD $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBPD $2 thema
082 0 4 $a 514.2 $2 23
100 1 $a Tkachuk, Vladimir V. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 785473
245 1 2 $a A Cp-Theory Problem Book $h [electronic resource] : $b Compactness in Function Spaces / $c by Vladimir V. Tkachuk.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XV, 524 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Problem Books in Mathematics, $x 0941-3502
505 0 $a 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.
520 $a 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.
650 0 $a Algebraic topology. $3 678206
650 0 $a Functional analysis. $3 527706
650 1 4 $a Algebraic Topology. $3 672209
650 2 4 $a Functional Analysis. $3 672166
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319160931
776 0 8 $i Printed edition: $z 9783319160917
776 0 8 $i Printed edition: $z 9783319365367
830 0 $a Problem Books in Mathematics, $x 0941-3502 $3 1261008
856 4 0 $u https://doi.org/10.1007/978-3-319-16092-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)