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001 ocn526488924
003 OCoLC
005 20141103172224.0
006 m o d
007 cr cnu---unuuu
008 100223s1993 ne a ob 001 0 eng d
040 _aN$T
_beng
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_dIDEBK
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019 _a646815451
_a823842942
_a823911065
_a824098951
_a824154243
020 _a9780080933108 (electronic bk.)
020 _a0080933106 (electronic bk.)
020 _z0444815058 (acid-free paper)
020 _z9780444815057
020 _a1282258494
020 _a9781282258495
029 1 _aDEBSZ
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035 _a(OCoLC)526488924
_z(OCoLC)646815451
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050 4 _aQA639.5
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082 0 4 _a516/.08
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049 _aTEFA
100 1 _aVel, M. L. J. Van de,
_d1948-
245 1 0 _aTheory of convex structures
_h[electronic resource] /
_cM.L.J. van de Vel.
260 _aAmsterdam ;
_aNew York :
_bNorth-Holland,
_c1993.
300 _a1 online resource (xv, 540 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNorth-Holland mathematical library ;
_vv. 50
504 _aIncludes bibliographical references (pages 507-528) and index.
588 0 _aPrint version record.
520 _aPresented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology. Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course.
650 0 _aConvex domains.
650 7 _aMATHEMATICS
_xGeometry
_xGeneral.
_2bisacsh
650 7 _aConvex domains.
_2fast
_0(OCoLC)fst00877259
650 7 _aEnsembles convexes.
_2ram
653 0 _aGeometry
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aVel, M.L.J. Van de, 1948-
_tTheory of convex structures.
_dAmsterdam ; New York : North-Holland, 1993
_z9780444815057
_w(DLC) 93008207
_w(OCoLC)28113277
830 0 _aNorth-Holland mathematical library ;
_vv. 50.
856 4 0 _3ScienceDirect
_uhttp://www.sciencedirect.com/science/book/9780444815057
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938 _aEBSCOhost
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938 _aIngram Digital eBook Collection
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942 _cEB
994 _aC0
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999 _c21777
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