Coverart for item
The Resource A Cp-Theory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)

A Cp-Theory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)

Label
A Cp-Theory Problem Book : Functional Equivalencies
Title
A Cp-Theory Problem Book
Title remainder
Functional Equivalencies
Statement of responsibility
by Vladimir V. Tkachuk
Creator
Subject
Language
eng
Summary
This fourth volume in Vladimir Tkachuk's series on Cp-theory 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 Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent, u-equivalent and l-equivalent 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 l-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructing l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets. From the reviews of Special Features of Function Spaces: "This is a well-written and very interesting book from several points of view and can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists working in Cp-theory 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 Cp-theory." (Mathematical Reviews)
Member of
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 Cp-Theory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-24385-6
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.
Control code
978-3-319-24385-6
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, 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
9783319243856
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-24385-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)946315754
Label
A Cp-Theory Problem Book : Functional Equivalencies, by Vladimir V. Tkachuk, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-24385-6
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.
Control code
978-3-319-24385-6
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, 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
9783319243856
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-24385-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)946315754

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