Discrete approximation of spaces: a uniform approach to topologically structured datatypes and their function spaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1994
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 89 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Sünderhauf, Philipp |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Discrete approximation of spaces |b a uniform approach to topologically structured datatypes and their function spaces |c von Philipp Sünderhauf |
| 264 | 1 | |c 1994 | |
| 300 | |a II, 89 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Darmstadt, Techn. Hochsch., Diss., 1994 | ||
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Datensatz im Suchindex
| _version_ | 1807324069776850944 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
1
1
BASIC
CONCEPTS
7
1.1
TOPOLOGY
.
7
1.2
DOMAIN
THEORY
.
8
1.3
QUASI-UNIFORMITIES
.
9
1.3.1
MOTIVATING
INTRODUCTION
.
9
1.3.2
QUASI-UNIFORMITY
VS.
QUASI-METRIC
.
12
1.3.3
COMPLETENESS
AND
COMPLETION
.
13
1.3.4
PRODUCTS
.
16
2
CONSTRUCTIONS
ON
QUASI-UNIFORM
SPACES
17
2.1
LOCALLY
BOUNDED
SPACES
.
17
2.2
THE
POWER
SPACE
FUNCTOR
.
19
2.2.1
DEFINITION
OF
THE
POWER
SPACE
MONAD
.
19
2.2.2
POWER
SPACE
FUNCTOR
AND
COMPLETION
.
24
2.2.3
THE
STRUCTURE
OF
COMPLETE
POWER
SPACES
.
26
2.3
THE
FUNCTION
SPACE
.
28
2.3.1
A
TENTATIVE
STRUCTURE
FOR
THE
FUNCTION
SPACE
.
28
2.3.2
THE
PROPOSED
STRUCTURE
FOR
THE
FUNCTION
SPACE
.
32
2.3.3
CARTESIAN
CLOSED
CATEGORIES
OF
QUASI-UNIFORM
SPACES?
.
34
3
MODELING
THE
REAL
NUMBERS
37
3.1
HOW
THE
MODEL
ARISES
.
37
3.2
A
DOMAIN
FOR
THE
REALS
.
40
3.3
FUNCTIONS
ON
1Z
.
49
II
CONTENTS
4
MODELING
OTHER
SPACES
53
4.1
ADMISSIBLE
BASES:
MODELS
.
53
4.2
DISCRETE
BASES:
QUASICONTINUITY
.
57
4.3
INTERSECTING
BASES:
FUNCTIONS
.
62
4.4
/-LEVELING
BASES:
MODELS
OF
PRODUCTS
.
65
4.5
MODELS
OF
FUNCTION
SPACES
.
68
5
REVISITING
THE
REAL
NUMBERS
77
5.1
A
COMPACT
INTERVAL
.
77
5.2
THE
REAL
LINE
.
82
BIBLIOGRAPHY
85 |
| any_adam_object | 1 |
| author | Sünderhauf, Philipp |
| author_facet | Sünderhauf, Philipp |
| author_role | aut |
| author_sort | Sünderhauf, Philipp |
| author_variant | p s ps |
| building | Verbundindex |
| bvnumber | BV010516953 |
| classification_tum | MAT 410d MAT 546d |
| ctrlnum | (OCoLC)75576738 (DE-599)BVBBV010516953 |
| discipline | Mathematik |
| format | Thesis Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-14T01:22:24Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007010334 |
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| physical | II, 89 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| record_format | marc |
| spelling | Sünderhauf, Philipp Verfasser aut Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces von Philipp Sünderhauf 1994 II, 89 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Darmstadt, Techn. Hochsch., Diss., 1994 Diskrete Approximation (DE-588)4503166-6 gnd rswk-swf Quasiuniformer Raum (DE-588)4347327-1 gnd rswk-swf Reelle Zahl (DE-588)4202628-3 gnd rswk-swf Bereichstheorie (DE-588)4382803-6 gnd rswk-swf Datentyp (DE-588)4011149-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quasiuniformer Raum (DE-588)4347327-1 s Diskrete Approximation (DE-588)4503166-6 s DE-604 Reelle Zahl (DE-588)4202628-3 s Datentyp (DE-588)4011149-0 s Bereichstheorie (DE-588)4382803-6 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007010334&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sünderhauf, Philipp Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces Diskrete Approximation (DE-588)4503166-6 gnd Quasiuniformer Raum (DE-588)4347327-1 gnd Reelle Zahl (DE-588)4202628-3 gnd Bereichstheorie (DE-588)4382803-6 gnd Datentyp (DE-588)4011149-0 gnd |
| subject_GND | (DE-588)4503166-6 (DE-588)4347327-1 (DE-588)4202628-3 (DE-588)4382803-6 (DE-588)4011149-0 (DE-588)4113937-9 |
| title | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces |
| title_auth | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces |
| title_exact_search | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces |
| title_full | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces von Philipp Sünderhauf |
| title_fullStr | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces von Philipp Sünderhauf |
| title_full_unstemmed | Discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces von Philipp Sünderhauf |
| title_short | Discrete approximation of spaces |
| title_sort | discrete approximation of spaces a uniform approach to topologically structured datatypes and their function spaces |
| title_sub | a uniform approach to topologically structured datatypes and their function spaces |
| topic | Diskrete Approximation (DE-588)4503166-6 gnd Quasiuniformer Raum (DE-588)4347327-1 gnd Reelle Zahl (DE-588)4202628-3 gnd Bereichstheorie (DE-588)4382803-6 gnd Datentyp (DE-588)4011149-0 gnd |
| topic_facet | Diskrete Approximation Quasiuniformer Raum Reelle Zahl Bereichstheorie Datentyp Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007010334&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sunderhaufphilipp discreteapproximationofspacesauniformapproachtotopologicallystructureddatatypesandtheirfunctionspaces |