Index analysis: approach theory at work
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2015
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XXI, 466 p. 58 illus) |
| ISBN: | 9781447164852 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-1-4471-6485-2 |
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Datensatz im Suchindex
| _version_ | 1804152927352258560 |
|---|---|
| adam_text | INDEX ANALYSIS
/ LOWEN, R.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
APPROACH SPACES
TOPOLOGICAL AND METRIC APPROACH SPACES
APPROACH INVARIANTS
INDEX ANALYSIS
UNIFORM GAUGE SPACES
EXTENSIONS OF SPACES AND MORPHISMS
APPROACH THEORY MEETS TOPOLOGY
APPROACH THEORY MEETS FUNCTIONAL ANALYSIS
APPROACH THEORY MEETS PROBABILITY
APPROACH THEORY MEETS HYPERSPACES
APPROACH THEORY MEETS DCPO’S AND DOMAINS
CATEGORICAL CONSIDERATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INDEX ANALYSIS
/ LOWEN, R.
: 2015
ABSTRACT / INHALTSTEXT
AFEATURED REVIEW OF THE AMS DESCRIBES THE AUTHOR’S EARLIER WORK IN
THE FIELD OF APPROACH SPACES AS, ‘A LANDMARK IN THE HISTORY OF GENERAL
TOPOLOGY’. IN THIS BOOK, THE AUTHOR HAS EXPANDED THIS STUDY FURTHER
AND TAKEN IT IN A NEW AND EXCITING DIRECTION. THE NUMBER OF
CONCEPTUALLY AND TECHNICALLY DIFFERENT SYSTEMS WHICH CHARACTERIZE
APPROACH SPACES IS INCREASED AND MOREOVER THEIR UNIFORM COUNTERPART,
UNIFORM GAUGE SPACES, IS PUT INTO THE PICTURE. AN EXTENSIVE STUDY OF
COMPLETIONS, BOTH FOR APPROACH SPACES AND FOR UNIFORM GAUGE SPACES, AS
WELL AS COMPACTIFICATIONS FOR APPROACH SPACES IS PERFORMED. A PARADIGM
SHIFT IS CREATED BY THE NEW CONCEPT OF INDEX ANALYSIS. MAKING USE OF
THE RICH INTRINSIC QUANTITATIVE INFORMATION PRESENT IN APPROACH
STRUCTURES, A TECHNIQUE IS DEVELOPED WHEREBY INDICES ARE DEFINED THAT
MEASURE THE EXTENT TO WHICH PROPERTIES HOLD, AND THEOREMS BECOME
INEQUALITIES INVOLVING INDICES; THEREFORE VASTLY EXTENDING THE REALM OF
APPLICABILITY OF MANY CLASSICAL RESULTS. THE THEORY IS THEN ILLUSTRATED
IN SUCH VARIED FIELDS AS TOPOLOGY, FUNCTIONAL ANALYSIS, PROBABILITY
THEORY, HYPERSPACE THEORY AND DOMAIN THEORY. FINALLY A COMPREHENSIVE
ANALYSIS IS MADE CONCERNING THE CATEGORICAL ASPECTS OF THE THEORY AND
ITS LINKS WITH OTHER TOPOLOGICAL CATEGORIES. INDEX ANALYSIS WILL BE
USEFUL FOR MATHEMATICIANS WORKING IN CATEGORY THEORY, TOPOLOGY,
PROBABILITY AND STATISTICS, FUNCTIONAL ANALYSIS, AND THEORETICAL
COMPUTER SCIENCE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| discipline | Mathematik |
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| isbn | 9781447164852 |
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| spelling | Lowen, R. Verfasser aut Index analysis approach theory at work R. Lowen London [u.a.] Springer 2015 1 Online-Ressource (XXI, 466 p. 58 illus) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Algebra Functional analysis Distribution (Probability theory) Topology Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Functional Analysis Probability Theory and Stochastic Processes Index theory (Mathematics) Topological spaces Mathematik Indextheorie (DE-588)4161489-6 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Indextheorie (DE-588)4161489-6 s Topologischer Raum (DE-588)4137586-5 s DE-604 Erscheint auch als Druckausgabe 978-1-4471-6484-5 https://doi.org/10.1007/978-1-4471-6485-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762734&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Lowen, R. Index analysis approach theory at work Mathematics Algebra Functional analysis Distribution (Probability theory) Topology Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Functional Analysis Probability Theory and Stochastic Processes Index theory (Mathematics) Topological spaces Mathematik Indextheorie (DE-588)4161489-6 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4161489-6 (DE-588)4137586-5 |
| title | Index analysis approach theory at work |
| title_auth | Index analysis approach theory at work |
| title_exact_search | Index analysis approach theory at work |
| title_full | Index analysis approach theory at work R. Lowen |
| title_fullStr | Index analysis approach theory at work R. Lowen |
| title_full_unstemmed | Index analysis approach theory at work R. Lowen |
| title_short | Index analysis |
| title_sort | index analysis approach theory at work |
| title_sub | approach theory at work |
| topic | Mathematics Algebra Functional analysis Distribution (Probability theory) Topology Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Functional Analysis Probability Theory and Stochastic Processes Index theory (Mathematics) Topological spaces Mathematik Indextheorie (DE-588)4161489-6 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Mathematics Algebra Functional analysis Distribution (Probability theory) Topology Category Theory, Homological Algebra Order, Lattices, Ordered Algebraic Structures Approximations and Expansions Functional Analysis Probability Theory and Stochastic Processes Index theory (Mathematics) Topological spaces Mathematik Indextheorie Topologischer Raum |
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