The Resource Index Analysis : Approach Theory at Work, by R. Lowen, (electronic resource)

Index Analysis : Approach Theory at Work, by R. Lowen, (electronic resource)

Label
Index Analysis : Approach Theory at Work
Title
Index Analysis
Title remainder
Approach Theory at Work
Statement of responsibility
by R. Lowen
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
A featured 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
Member of
http://library.link/vocab/creatorName
Lowen, R
Image bit depth
0
LC call number
QA440-699
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Functional analysis
  • Geometry
  • Distribution (Probability theory)
  • Topology
  • Mathematics
  • Geometry
  • Order, Lattices, Ordered Algebraic Structures
  • Approximations and Expansions
  • Functional Analysis
  • Topology
  • Probability Theory and Stochastic Processes
Label
Index Analysis : Approach Theory at Work, by R. Lowen, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XXI, 466 p. 58 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781447164852
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4471-6485-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4471-6485-2
Label
Index Analysis : Approach Theory at Work, by R. Lowen, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XXI, 466 p. 58 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781447164852
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4471-6485-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4471-6485-2

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