Representations of preferences orderings:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1995
|
| Series: | Lecture notes in economics and mathematical systems
422 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 165 S. |
| ISBN: | 3540588396 0387588396 |
Staff View
MARC
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| 100 | 1 | |a Bridges, Douglas S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Representations of preferences orderings |c Douglas S. Bridges ; Ghanshyam B. Mehta |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
| 300 | |a X, 165 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in economics and mathematical systems |v 422 | |
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Record in the Search Index
| _version_ | 1805067158961520640 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
1
ORDERED
SETS
AND
ORDER
HOMOMORPHISMS
1
1.1
INTRODUCTION
.
1
1.2
ORDER
HOMOMORPHISMS
ON
A
FINITE
SET
.
7
1.3
ORDER
HOMOMORPHISMS
ON
A
COUNTABLE
SET
.
8
1.4
ORDER
HOMOMORPHISMS
ON
AN
UNCOUNTABLE
SET
.
10
1.5
TWO
FUNDAMENTAL
THEOREMS
OF
CANTOR
.
16
1.6
ORDER
AND
TOPOLOGY
.
19
2
ORDER
HOMOMORPHISMS
IN
EUCLIDEAN
SPACE
27
2.1
THE
EUCLIDEAN
DISTANCE
APPROACH
.
27
2.2
NEUEFEIND
'
S
MEASURE-THEORETIC
CONSTRUCTION
.
34
3
THE
FUNDAMENTAL
THEOREMS
37
3.1
THE
GAP
LEMMA
.
37
3.2
THE
CLASSICAL
THEOREMS
OF
EILENBERG
AND
DEBREU
.
44
4
A
MISCELLANY
OF
REPRESENTATIONS
49
4.1
PELEG
'
S
THEOREM
.
49
4.2
JAFFRAY
'
S
OPEN
GAP
LEMMA
.
52
4.3
SONDERMANN
'
S
THEOREMS
.
54
4.4
THE
EILENBERG-RICHTER
METHOD
.
61
4.5
ORDER
HOMOMORPHISMS
ON
ORDERED
TOPOLOGICAL
GROUPS
.
.
66
4.6
ORDER
ISOMORPHISMS
ON
TOPOLOGICAL
VECTOR
SPACES
.
68
5
THE
URYSOHN-NACHBIN
APPROACH
73
5.1
INTRODUCTION
.
73
5.2
THE
EXISTENCE
OF
ORDER
ISOMORPHISMS
.
77
6
INTERVAL
ORDERS
7
6.1
INTERVAL
ORDERS
AND
THEIR
REPRESENTATION
.
87
6.2
STRONG
PSEUDOTRANSITIVITY
AND
CONTINUOUS
REPRESENTATIONS
.
91
6.3
REPRESENTING
INTERVAL
ORDERS
IN
EUCLIDEAN
SPACE
.
94
6.4
REPRESENTING
INTERVAL
ORDERS
ON
A
TOPOLOGICAL
SPACE
.
102
6.5
CHATEAUNEUF
'
S
REPRESENTATION
THEOREM
.
104
X
CONTENTS
7
DIFFERENTIABLE
ORDER
HOMOMORPHISMS
109
7.1
PRELIMINARIES
.
109
7.2
THE
EXISTENCE
OF
LOCAL
DIFFERENTIABLE
ORDER
ISOMORPHISMS
.
113
7.3
THE
EXISTENCE
OF
DIFFERENTIABLE
ORDER
ISOMORPHISMS
.
118
8
JOINTLY
CONTINUOUS
ORDER
HOMOMORPHISMS
125
8.1
INTRODUCTION
AND
OVERVIEW
.
125
8.2
THE
TOPOLOGY
OF
CLOSED
CONVERGENCE
.
131
8.3
LEVIN
'
S
THEOREM
.
142
REFERENCES
147
INDEX
163 |
| any_adam_object | 1 |
| author | Bridges, Douglas S. Mehta, Ghanshyam B. 1943- |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
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| dewey-sort | 3658.8 3343 220 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV009965657 |
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| indexdate | 2024-07-20T03:29:48Z |
| institution | BVB |
| isbn | 3540588396 0387588396 |
| language | English |
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| physical | X, 165 S. |
| publishDate | 1995 |
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| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Bridges, Douglas S. Verfasser aut Representations of preferences orderings Douglas S. Bridges ; Ghanshyam B. Mehta Berlin u.a. Springer 1995 X, 165 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 422 Consumentengedrag gtt Consumptiepatroon gtt Voorkeur gtt Wiskundige modellen gtt Mathematisches Modell Consumers' preferences -- Mathematical models Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Ordnungshomomorphismus (DE-588)4377676-0 gnd rswk-swf Ordnungshomomorphismus (DE-588)4377676-0 s Darstellung Mathematik (DE-588)4128289-9 s DE-604 Mehta, Ghanshyam B. 1943- Verfasser (DE-588)170123995 aut Lecture notes in economics and mathematical systems 422 (DE-604)BV000000036 422 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006605163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bridges, Douglas S. Mehta, Ghanshyam B. 1943- Representations of preferences orderings Lecture notes in economics and mathematical systems Consumentengedrag gtt Consumptiepatroon gtt Voorkeur gtt Wiskundige modellen gtt Mathematisches Modell Consumers' preferences -- Mathematical models Darstellung Mathematik (DE-588)4128289-9 gnd Ordnungshomomorphismus (DE-588)4377676-0 gnd |
| subject_GND | (DE-588)4128289-9 (DE-588)4377676-0 |
| title | Representations of preferences orderings |
| title_auth | Representations of preferences orderings |
| title_exact_search | Representations of preferences orderings |
| title_full | Representations of preferences orderings Douglas S. Bridges ; Ghanshyam B. Mehta |
| title_fullStr | Representations of preferences orderings Douglas S. Bridges ; Ghanshyam B. Mehta |
| title_full_unstemmed | Representations of preferences orderings Douglas S. Bridges ; Ghanshyam B. Mehta |
| title_short | Representations of preferences orderings |
| title_sort | representations of preferences orderings |
| topic | Consumentengedrag gtt Consumptiepatroon gtt Voorkeur gtt Wiskundige modellen gtt Mathematisches Modell Consumers' preferences -- Mathematical models Darstellung Mathematik (DE-588)4128289-9 gnd Ordnungshomomorphismus (DE-588)4377676-0 gnd |
| topic_facet | Consumentengedrag Consumptiepatroon Voorkeur Wiskundige modellen Mathematisches Modell Consumers' preferences -- Mathematical models Darstellung Mathematik Ordnungshomomorphismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006605163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000036 |
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