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» The Chang-Los-Suszko theorem in a topological setting
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JC
2002
50views more  JC 2002»
13 years 7 months ago
Verifying Topological Indices for Higher-Order Rank Deficiencies
It has been known how to use computational fixed point theorems to verify existence and uniqueness of a true solution to a nonlinear system of equations within a small region abou...
R. Baker Kearfott, Jianwei Dian
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
14 years 7 months ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu
BIRTHDAY
2010
Springer
13 years 8 months ago
Metrization Theorem for Space-Times: From Urysohn's Problem towards Physically Useful Constructive Mathematics
In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...
Vladik Kreinovich
IGPL
2008
124views more  IGPL 2008»
13 years 7 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
CPC
2006
84views more  CPC 2006»
13 years 7 months ago
Splitter Theorems for Cubic Graphs
Let ;k g be the class of k-connected cubic graphs of girth at least g. For several choices of k and g, we determine a set Ok g of graph operations, for which, if G and H are graph...
Guoli Ding, Jinko Kanno