The Resource A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
Resource Information
The item A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This fourth volume in Vladimir Tkachuk's series on Cptheory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cptheory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and uptodate information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of tequivalent, uequivalent and lequivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of lequivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of nonpreservation of compactness by tequivalence, Okunev's method of constructing lequivalent spaces and the theorem of Marciszewski and Pelant on uinvariance of absolute Borel sets. From the reviews of Special Features of Function Spaces: "This is a wellwritten and very interesting book from several points of view and can be used as a textbook for courses in both Cptheory and general topology as well as a reference guide for specialists working in Cptheory and related topics. Additionally, the material can also be considered as an introduction to advanced set theory and descriptive set theory. ...I hope that this book becomes the right hand of students and researchers in mathematics." (Mathematical Reviews) From the reviews of Topological and Function Spaces: "It is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. The only background needed is some knowledge of set theory and real numbers. ...This volume can also be used as a reference for mathematicians working in or outside of the field of topology (functional analysis) wanting to use results or methods of Cptheory." (Mathematical Reviews)
 Language
 eng
 Extent
 1 online resource (xiv, 727 pages)
 Isbn
 9783319243856
 Label
 A CpTheory Problem Book : Functional Equivalencies
 Title
 A CpTheory Problem Book
 Title remainder
 Functional Equivalencies
 Statement of responsibility
 by Vladimir V. Tkachuk
 Language
 eng
 Summary
 This fourth volume in Vladimir Tkachuk's series on Cptheory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cptheory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and uptodate information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of tequivalent, uequivalent and lequivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of lequivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of nonpreservation of compactness by tequivalence, Okunev's method of constructing lequivalent spaces and the theorem of Marciszewski and Pelant on uinvariance of absolute Borel sets. From the reviews of Special Features of Function Spaces: "This is a wellwritten and very interesting book from several points of view and can be used as a textbook for courses in both Cptheory and general topology as well as a reference guide for specialists working in Cptheory and related topics. Additionally, the material can also be considered as an introduction to advanced set theory and descriptive set theory. ...I hope that this book becomes the right hand of students and researchers in mathematics." (Mathematical Reviews) From the reviews of Topological and Function Spaces: "It is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. The only background needed is some knowledge of set theory and real numbers. ...This volume can also be used as a reference for mathematicians working in or outside of the field of topology (functional analysis) wanting to use results or methods of Cptheory." (Mathematical Reviews)
 http://library.link/vocab/creatorName
 Tkachuk, V. V.
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Problem Books in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Topology
 Label
 A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
 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.
 Control code
 9783319243856
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 727 pages)
 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, noncommercial 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
 9783319243856
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319243856
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)946315754
 Label
 A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
 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.
 Control code
 9783319243856
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 727 pages)
 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, noncommercial 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
 9783319243856
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319243856
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)946315754
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ACpTheoryProblemBookFunctional/PsSkxE4QRAw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ACpTheoryProblemBookFunctional/PsSkxE4QRAw/">A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ACpTheoryProblemBookFunctional/PsSkxE4QRAw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ACpTheoryProblemBookFunctional/PsSkxE4QRAw/">A CpTheory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>