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By R. Artzy (auth.), Rafael Artzy, Izu Vaisman (eds.)

ISBN-10: 354009976X

ISBN-13: 9783540099765

ISBN-10: 3540392149

ISBN-13: 9783540392149

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Additional info for Geometry and Differential Geometry: Proceedings of a Conference Held at the University of Haifa, Israel, March 18–23, 1979

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Infinite finite finite arb. arb. arb. arb. arb. finite finite arb dim V B(~) c V c V I antiaut. ~ 1 V regular [antiaut. ~ 1 IKI ~ 5 r a d B(~) c Q c V rad 68 67 80 77 80 G~tzky [12] B~ge-Beeken [14] [14] [ii] [4] Nolte [17] Nolte [7] Nolte Wolff [4 ] Dress, [16] GUnther, Nolte Ellers, Ellers G~nther, 80 79 Nolte 75 V < 1 Ahrens, 69 index Meyer 68 V regular IKI ~ 2n [3 ] [15] Becken 62 V regular [i0] [8] [i0] [9] [13] Ellers Ellers Ellers 80 80 Ellers 80 Green Boge-Becken 67 77 Ellers [6] Reference 78 Date 80 K commutative K commutative Remarks [i] u(v) sp(v) sp(v) Group = 2 2 = 2 transvections transvections Char transvections Generators K arb.

X X {Xn1_1 x . . x X ns } A All these nected Pm-1 with c Sn Pm The the socalled Dual-Segre totality spaces of s autocollineations ~ ''''' ~s self. ,X~s Snl , ... ,ns forming con- "''ms 1 the Sn1'''''ns' ,. I d) define induces and way we an autocollineation ~ of Pm' t r a n s ^ S n I ,. ,ns. I e) The totality of 1 the spaces ing Sn s autocorrelations, K S ,. ,Xns , induces the an autocorrelation dual-Segre of c), K of Pm' connected with transform- it. "''ns 1 A f) Among in e), there ations.

A. Rogers, "The R e a l i z a t i o n S p a c e , " Mathematika 19 ( 1 9 7 2 ) , p. 1-24. Proc. 7th Southeastern Conf. G. Layman, "A Note on t h e R e a l i z a t i o n o f D i s t a n c e s w i t h i n S e t s i n E u c l i d e a n S p a c e , " Cor~nent. Math. HeZvetic~, 83 (1978), p. 529-539. G. de B r u i j n and P. E r d h s , "A C o l o u r Problem f o r I n f i n i t e Graphs and a Problem i n t h e Theory o f R e l a t i o n s , " I n d , . Math. 13 (1951), p. 371-373, and Nederl. Akad.

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Geometry and Differential Geometry: Proceedings of a Conference Held at the University of Haifa, Israel, March 18–23, 1979 by R. Artzy (auth.), Rafael Artzy, Izu Vaisman (eds.)

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