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MLQ
2010
226views more  MLQ 2010»
13 years 9 months ago
The Ultrafilter Closure in ZF
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
Gonçalo Gutierres
APPML
2008
92views more  APPML 2008»
13 years 10 months ago
Almost automorphic solutions to a class of semilinear fractional differential equations
We study almost automorphic (mild) solutions of the semilinear fractional equation t u = Au + -1 t f(
Claudio Cuevas, Carlos Lizama
ORDER
2002
90views more  ORDER 2002»
13 years 10 months ago
The Priestley Separation Axiom for Scattered Spaces
Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in th...
Guram Bezhanishvili, Ray Mines, Patrick J. Morandi
ACS
2005
13 years 10 months ago
Locally Compact Path Spaces
It is shown that the space X[0,1], of continuous maps [0, 1] X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. ...
Susan B. Niefield
JGO
2008
75views more  JGO 2008»
13 years 10 months ago
On the second conjugate of several convex functions in general normed vector spaces
When dealing with convex functions defined on a normed vector space X the biconjugate is usually considered with respect to the dual system (X, X ), that is, as a function defined...
Constantin Zalinescu
APAL
2006
85views more  APAL 2006»
13 years 11 months ago
Compact spaces, elementary submodels, and the countable chain condition
Given a space X, J in an elementary submodel M of H(), define XM to be X M with the topology generated by {U M : U J M}. It is established, using anti-large-cardinals assumptio...
Lúcia R. Junqueira, Paul Larson, Franklin D...
ICDM
2002
IEEE
111views Data Mining» more  ICDM 2002»
14 years 3 months ago
An Algebraic Approach to Data Mining: Some Examples
In this paper, we introduce an algebraic approach to the foundations of data mining. Our approach is based upon two algebras of functions de ned over a common state space X and a ...
Robert L. Grossman, Richard G. Larson