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ACS
2005
14 years 9 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
BIRTHDAY
2010
Springer
14 years 11 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
JMIV
2006
78views more  JMIV 2006»
14 years 9 months ago
Axiomatic Digital Topology
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological space...
Vladimir Kovalevsky
JLP
2008
79views more  JLP 2008»
14 years 9 months ago
A Hofmann-Mislove theorem for bitopological spaces
We present a Stone duality for bitopological spaces in analogy to the duality between topological spaces and frames, and discuss the resulting notions of sobriety and spatiality. ...
Achim Jung, M. Andrew Moshier
ICALP
2010
Springer
14 years 11 months ago
Noetherian Spaces in Verification
Abstract. Noetherian spaces are a topological concept that generalizes well quasiorderings. We explore applications to infinite-state verification problems, and show how this stimu...
Jean Goubault-Larrecq