The Stone-Čech compactification:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1974
|
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge
83 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 332 S. graph. Darst. |
| ISBN: | 3540066993 |
Staff View
MARC
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| 100 | 1 | |a Walker, Russell C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Stone-Čech compactification |c Russell C. Walker |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1974 | |
| 300 | |a X, 332 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge |v 83 | |
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Record in the Search Index
| _version_ | 1804117343575474176 |
|---|---|
| adam_text | Table
of
Contents
Chapter
1.
Development
of the Stone-Cech Compactification
. . 1
Completely Regular Spaces
................ 4
ßX
and the Extension of Mappings
............ 8
3-Filters and
3-
Ultrafilters
................ 11
ßX
and Maximal Ideal Spaces
.............. 13
Spaces of 3-Ultrafilters
................. 19
Characterizations of
ßX................. 25
Generalizations of Compactness
............. 30
F-Spaces and P-Spaces
................. 35
Other Approaches to
ßX................ 38
Exercises
....................... 40
Chapter
2.
Boolean Algebras
................ 43
The Stone Representation Theorem
............ 47
Two Examples
..................... 53
The Completion of a Boolean Algebra
........... 59
Separability in Boolean Algebras
............. 61
Exercises
....................... 67
Chapters. OnjSlNandN*
................. 70
The Cardinality of
/Ш
.................. 70
TheClopenSetsofßN.andN*.............. 73
A Characterization of
Ν*
................ 80
Types of
Ultrafilters
and the Non-Homogeneity of IN*
.... 88
Exercises
. . ..................... 93
Chapter
4.
Non-Homogeneity of Growths
........... 95
Types of Points in X*
.................. 97
С
-Points and C*-Points in X*
.............. 100
P-Points in X*
..................... 106
Remote Points in X*
.................. 110
Table
of
Contents
IX
The Example of
β
R
...................116
Exercises
.......................117
Chapters. Cellularity of Growths
.............. 120
Lower Bounds for the Cellularity of X*
.......... 120
η
-Points and Uniform
Ultrafilters............. 126
η
-Points and Compactifications of
N ........... 131
Exercises
....................... 134
Chapter
6.
Mappings of
ßX
to X*
..............136
C*-Embedding of Images
................ 136
Retractive Spaces
................. .... 138
Growths of Compactifications
.............. 141
Mappings of
β
D
and other Extremally Disconnected Spaces.
. 146
Exercises
....................... 156
Chapter?.
/Ш
Revisited
..................160
Ν* {/>}
is not Normal
.................. 161
An Example Concerning the Banach-Stone Theorem
..... 164
A Point of N* with
с
Relative Types
............ 168
Types, N*-Types, and P-Points
.............. 170
Minimal Types and Points with Finitely Many Relative Types
. 176
Exercises
....................... 185
Chapter
8.
Product Theorems
................187
Glicksberg s Theorem for Finite Products
......... 188
The Product Theorem for Infinite Products
......... 205
Assorted Product Theorems
............... 212
The o-Analogue
:
An Open Question
............ 216
Exercises
....................... 217
Chapter
9.
Local Connectedness,
Continua,
and X*
...... 220
Compactifications of Locally Connected Spaces
....... 220
A Non-Metric Indecomposable Continuum
......... 225
Continua
as Growths
.................. 236
Exercises
....................... 242
Chapter
10. ßX in
Categorical Perspective
.......... 243
Categories and Functors
................. 244
Reflective Subcategories of the Category of Hausdorff Spaces
. 248
X Table of Contents
Adjunctions in Reflective Subcategories
.......... 266
Perfect Mappings
.................... 273
Projectives
. . ..................... 282
Exercises
....................... 291
Bibliography
....................... 297
Author Index
....................... 319
List of Symbols
...................... 322
Index
.......................... 323
|
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV003054542 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:52:54Z |
| institution | BVB |
| isbn | 3540066993 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001914070 |
| oclc_num | 318330584 |
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| physical | X, 332 S. graph. Darst. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Springer |
| record_format | marc |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge |
| spelling | Walker, Russell C. Verfasser aut The Stone-Čech compactification Russell C. Walker Berlin [u.a.] Springer 1974 X, 332 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete / Neue Folge 83 Topología algebráica Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd rswk-swf Stone-Čech-Kompaktifizierung (DE-588)4308423-0 s DE-604 Neue Folge Ergebnisse der Mathematik und ihrer Grenzgebiete 83 (DE-604)BV005871160 83 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001914070&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walker, Russell C. The Stone-Čech compactification Topología algebráica Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd |
| subject_GND | (DE-588)4308423-0 |
| title | The Stone-Čech compactification |
| title_auth | The Stone-Čech compactification |
| title_exact_search | The Stone-Čech compactification |
| title_full | The Stone-Čech compactification Russell C. Walker |
| title_fullStr | The Stone-Čech compactification Russell C. Walker |
| title_full_unstemmed | The Stone-Čech compactification Russell C. Walker |
| title_short | The Stone-Čech compactification |
| title_sort | the stone cech compactification |
| topic | Topología algebráica Stone-Čech-Kompaktifizierung (DE-588)4308423-0 gnd |
| topic_facet | Topología algebráica Stone-Čech-Kompaktifizierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001914070&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871160 |
| work_keys_str_mv | AT walkerrussellc thestonecechcompactification |