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» The Chang-Los-Suszko theorem in a topological setting
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Lecture Notes
841views
15 years 3 months ago
General Equilibrium Theory
These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
Nicholas C. Yannelis
DCG
2002
81views more  DCG 2002»
13 years 5 months ago
Separoids, Their Categories and a Hadwiger-Type Theorem for Transversals
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 w...
Jorge L. Arocha, Javier Bracho, Luis Montejano, D....
CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 5 months ago
Ultrametric watersheds: a bijection theorem for hierarchical edge-segmentation
Abstract. We study hierachical segmentation in the framework of edgeweighted graphs. We define ultrametric watersheds as topological watersheds null on the minima. We prove that th...
Laurent Najman
DCG
2007
78views more  DCG 2007»
13 years 5 months ago
Convexity in Topological Affine Planes
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...
Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...