Separoids, their categories and a Hadwiger-type theorem for transversals

被引：12

作者：

Arocha, JL ^{[1
]}

Bracho, J ^{[1
]}

Montejano, L ^{[1
]}

Oliveros, D ^{[1
]}

Strausz, R ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2002年 / 27卷 / 03期

关键词：

D O I：

10.1007/s00454-001-0075-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This topology seems to be ruled by a combinatorial structure which we call a separoid. With these combinatorial objects and the topological notion of virtual transversal we prove a Borsuk-Ulam-type theorem which has as a corollary a generalization of Hadwiger's theorem.

引用

页码：377 / 385

页数：9

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