語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
A Cp-Theory Problem Book = Functiona...
~
SpringerLink (Online service)
A Cp-Theory Problem Book = Functional Equivalencies /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A Cp-Theory Problem Book/ by Vladimir V. Tkachuk.
其他題名:
Functional Equivalencies /
作者:
Tkachuk, Vladimir V.
面頁冊數:
XIV, 727 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Topology. -
電子資源:
https://doi.org/10.1007/978-3-319-24385-6
ISBN:
9783319243856
A Cp-Theory Problem Book = Functional Equivalencies /
Tkachuk, Vladimir V.
A Cp-Theory Problem Book
Functional Equivalencies /[electronic resource] :by Vladimir V. Tkachuk. - 1st ed. 2016. - XIV, 727 p.online resource. - Problem Books in Mathematics,0941-3502. - Problem Books in Mathematics,.
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).
ISBN: 9783319243856
Standard No.: 10.1007/978-3-319-24385-6doiSubjects--Topical Terms:
633483
Topology.
LC Class. No.: QA611-614.97
Dewey Class. No.: 514
A Cp-Theory Problem Book = Functional Equivalencies /
LDR
:03648nam a22003975i 4500
001
978740
003
DE-He213
005
20200706111640.0
007
cr nn 008mamaa
008
201211s2016 gw | s |||| 0|eng d
020
$a
9783319243856
$9
978-3-319-24385-6
024
7
$a
10.1007/978-3-319-24385-6
$2
doi
035
$a
978-3-319-24385-6
050
4
$a
QA611-614.97
072
7
$a
PBP
$2
bicssc
072
7
$a
MAT038000
$2
bisacsh
072
7
$a
PBP
$2
thema
082
0 4
$a
514
$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
Functional Equivalencies /
$c
by Vladimir V. Tkachuk.
250
$a
1st ed. 2016.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2016.
300
$a
XIV, 727 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
520
$a
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).
650
0
$a
Topology.
$3
633483
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319243832
776
0 8
$i
Printed edition:
$z
9783319243849
776
0 8
$i
Printed edition:
$z
9783319796161
830
0
$a
Problem Books in Mathematics,
$x
0941-3502
$3
1261008
856
4 0
$u
https://doi.org/10.1007/978-3-319-24385-6
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)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入