MLQ
2010
13 years 10 months ago
2010
: 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...
APPML
2008
13 years 11 months ago
2008
We study almost automorphic (mild) solutions of the semilinear fractional equation t u = Au + -1 t f(
ORDER
2002
13 years 11 months ago
2002
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...
ACS
2005
13 years 11 months ago
2005
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. ...
JGO
2008
13 years 11 months ago
2008
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...
APAL
2006
13 years 11 months ago
2006
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...
ICDM
2002
IEEE
14 years 4 months ago
2002
IEEE
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 ...