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JSYML
2010
62views more  JSYML 2010»
13 years 6 months ago
A monotonicity theorem for dp-minimal densely ordered groups
Dp-minimality is a common generalization of weak minimality and weak o-minimality. If T is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal den...
John Goodrick
DCG
2002
81views more  DCG 2002»
13 years 7 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....
CAS
1999
60views more  CAS 1999»
13 years 7 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich
JCT
2010
98views more  JCT 2010»
13 years 2 months ago
Lifts of matroid representations over partial fields
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
Rudi Pendavingh, Stefan H. M. van Zwam
JCT
2010
79views more  JCT 2010»
13 years 2 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam