Coverart for item
The Resource Constructive continuity, [by] Mark Mandelkern

Constructive continuity, [by] Mark Mandelkern

Label
Constructive continuity
Title
Constructive continuity
Statement of responsibility
[by] Mark Mandelkern
Creator
Subject
Language
eng
Summary
There are two long outstanding constructivity problems concerning real-valued functions on the closed unit interval: (i) is every function continuous? (ii) is every continuous function uniformly continuous? In this paper the method of reliefs is introduced to aid the study of these problems. While so far leading to no definitive solutions, the method has yielded a few partial results, and might be used as a basis for further investigations
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1933-
http://library.link/vocab/creatorName
Mandelkern, Mark
Index
no index present
Literary form
non fiction
Series statement
Memoirs of the American Mathematical Society
Series volume
277
http://library.link/vocab/subjectName
  • Functions, Continuous
  • Constructive mathematics
Label
Constructive continuity, [by] Mark Mandelkern
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 111-112), and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Problems, methods, and main results -- Part I. Preliminaries ; Brouwerian counterexamples -- Real numbers -- Infima and suprema -- Metric spaces -- Part II. Reliefs and continuous functions ; Reliefs - Continuity -- Intermediate values -- Bounds and extremes -- Connectivity and convexity -- Located sets -- Part III. Monotone functions ; Monotonicity -- Monotonicity and continuity -- Part IV. Relief functions and the limited continuity principle ; Relief functions -- Existence of relief functions -- The limited continuity principle
Dimensions
26 cm.
Extent
v, 117 pages
Isbn
9780821822777
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Constructive continuity, [by] Mark Mandelkern
Publication
Bibliography note
Includes bibliographical references (pages 111-112), and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Problems, methods, and main results -- Part I. Preliminaries ; Brouwerian counterexamples -- Real numbers -- Infima and suprema -- Metric spaces -- Part II. Reliefs and continuous functions ; Reliefs - Continuity -- Intermediate values -- Bounds and extremes -- Connectivity and convexity -- Located sets -- Part III. Monotone functions ; Monotonicity -- Monotonicity and continuity -- Part IV. Relief functions and the limited continuity principle ; Relief functions -- Existence of relief functions -- The limited continuity principle
Dimensions
26 cm.
Extent
v, 117 pages
Isbn
9780821822777
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

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