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» Triangulating Topological Spaces
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97
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ACS
2005
15 years 18 days 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
15 years 1 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
63
Voted
JMIV
2006
78views more  JMIV 2006»
15 years 19 days 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
INFOCOM
2010
IEEE
14 years 11 months ago
Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
In this paper we show that complex (scale-free) network topologies naturally emerge from hyperbolic metric spaces. The hyperbolic geometry can be used to facilitate maximally efï¬...
Fragkiskos Papadopoulos, Dmitri V. Krioukov, Mari&...
89
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JLP
2008
79views more  JLP 2008»
15 years 20 days 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