The Resource Excursions into Combinatorial Geometry, by Vladimir Boltyanski, Horst Martini, P.S. Soltan, (electronic resource)

Excursions into Combinatorial Geometry, by Vladimir Boltyanski, Horst Martini, P.S. Soltan, (electronic resource)

Label
Excursions into Combinatorial Geometry
Title
Excursions into Combinatorial Geometry
Statement of responsibility
by Vladimir Boltyanski, Horst Martini, P.S. Soltan
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
siehe Werbetext
Member of
http://library.link/vocab/creatorName
Boltyanski, Vladimir
Dewey number
516/.13
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • V7cNE7NbBqI
  • j0Cb6Ms4RRU
  • UGjuKshscmo
Image bit depth
0
Language note
English
LC call number
QA440-699
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Martini, Horst.
  • Soltan, P.S.
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Geometry
  • Discrete groups
  • Combinatorics
  • Mathematical optimization
  • Geometry
  • Convex and Discrete Geometry
  • Combinatorics
  • Calculus of Variations and Optimal Control; Optimization
Label
Excursions into Combinatorial Geometry, by Vladimir Boltyanski, Horst Martini, P.S. Soltan, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
I. Convexity -- §1 Convex sets -- §2 Faces and supporting hyperplanes -- §3 Polarity -- §4 Direct sum decompositions -- §5 The lower semicontinuity of the operator “exp” -- §6 Convex cones -- §7 The Farkas Lemma and its generalization -- §8 Separable systems of convex cones -- II. d-Convexity in normed spaces -- §9 The definition of d-convex sets -- §10 Support properties of d-convex sets -- §11 Properties of d-convex flats -- §12 The join of normed spaces -- §13 Separability of d-convex sets -- §14 The Helly dimension of a set family -- §15 d-Star-shaped sets -- III. H-convexity -- §16 The functional md for vector systems -- §17 The ?-displacement Theorem -- §18 Lower semicontinuity of the functional md -- §19 The definition of H-convex sets -- §20 Upper semicontinuity of the H-convex hull -- §21 Supporting cones of H-convex bodies -- §22 The Helly Theorem for H-convex sets -- §23 Some applications of H-convexity -- §24 Some remarks on connection between d-convexity and H-convexity -- IV. The Szökefalvi-Nagy Problem -- §25 The Theorem of Szökefalvi-Nagy and its generalization -- §26 Description of vector systems with md H = 2 that are not one-sided -- §27 The 2-systems without particular vectors -- §28 The 2-system with particular vectors -- §29 The compact, convex bodies with md M = 2 -- §30 Centrally symmetric bodies -- V. Borsuk’s partition problem -- §31 Formulation of the problem and a survey of results -- §32 Bodies of constant width in Euclidean and normed spaces -- §33 Borsuk’s problem in normed spaces -- VI. Homothetic covering and illumination -- §34 The main problem and a survey of results -- §35 The hypothesis of Gohberg-Markus-Hadwiger -- §36 The infinite values of the functional b, b2032;, c, c2032;, -- §37 Inner illumination of convex bodies -- §38 Estimates for the value of the functional p(K) -- VII. Combinatorial geometry of belt bodies -- §39 The integral respresentation of zonoids -- §40 Belt vectors of a compact, convex body -- §41 Definition of belt bodies -- §42 Solution of the illumination problem for belt bodies -- §43 Solution of the Szökefalvi-Nagy problem for belt bodies -- §44 Minimal fixing systems -- VIII. Some research problems -- Author Index -- List of Symbols
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XIV, 423 p. 1 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642592379
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-59237-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104653
  • (SSID)ssj0000806188
  • (PQKBManifestationID)11422741
  • (PQKBTitleCode)TC0000806188
  • (PQKBWorkID)10746821
  • (PQKB)11483103
  • (DE-He213)978-3-642-59237-9
  • (MiAaPQ)EBC3092400
  • (EXLCZ)993400000000104653
Label
Excursions into Combinatorial Geometry, by Vladimir Boltyanski, Horst Martini, P.S. Soltan, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
I. Convexity -- §1 Convex sets -- §2 Faces and supporting hyperplanes -- §3 Polarity -- §4 Direct sum decompositions -- §5 The lower semicontinuity of the operator “exp” -- §6 Convex cones -- §7 The Farkas Lemma and its generalization -- §8 Separable systems of convex cones -- II. d-Convexity in normed spaces -- §9 The definition of d-convex sets -- §10 Support properties of d-convex sets -- §11 Properties of d-convex flats -- §12 The join of normed spaces -- §13 Separability of d-convex sets -- §14 The Helly dimension of a set family -- §15 d-Star-shaped sets -- III. H-convexity -- §16 The functional md for vector systems -- §17 The ?-displacement Theorem -- §18 Lower semicontinuity of the functional md -- §19 The definition of H-convex sets -- §20 Upper semicontinuity of the H-convex hull -- §21 Supporting cones of H-convex bodies -- §22 The Helly Theorem for H-convex sets -- §23 Some applications of H-convexity -- §24 Some remarks on connection between d-convexity and H-convexity -- IV. The Szökefalvi-Nagy Problem -- §25 The Theorem of Szökefalvi-Nagy and its generalization -- §26 Description of vector systems with md H = 2 that are not one-sided -- §27 The 2-systems without particular vectors -- §28 The 2-system with particular vectors -- §29 The compact, convex bodies with md M = 2 -- §30 Centrally symmetric bodies -- V. Borsuk’s partition problem -- §31 Formulation of the problem and a survey of results -- §32 Bodies of constant width in Euclidean and normed spaces -- §33 Borsuk’s problem in normed spaces -- VI. Homothetic covering and illumination -- §34 The main problem and a survey of results -- §35 The hypothesis of Gohberg-Markus-Hadwiger -- §36 The infinite values of the functional b, b2032;, c, c2032;, -- §37 Inner illumination of convex bodies -- §38 Estimates for the value of the functional p(K) -- VII. Combinatorial geometry of belt bodies -- §39 The integral respresentation of zonoids -- §40 Belt vectors of a compact, convex body -- §41 Definition of belt bodies -- §42 Solution of the illumination problem for belt bodies -- §43 Solution of the Szökefalvi-Nagy problem for belt bodies -- §44 Minimal fixing systems -- VIII. Some research problems -- Author Index -- List of Symbols
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XIV, 423 p. 1 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642592379
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-59237-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000104653
  • (SSID)ssj0000806188
  • (PQKBManifestationID)11422741
  • (PQKBTitleCode)TC0000806188
  • (PQKBWorkID)10746821
  • (PQKB)11483103
  • (DE-He213)978-3-642-59237-9
  • (MiAaPQ)EBC3092400
  • (EXLCZ)993400000000104653

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