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» Domain representations of spaces of compact subsets
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MSCS
2010
65views more  MSCS 2010»
13 years 9 months ago
Domain representations of spaces of compact subsets
Ulrich Berger, Jens Blanck, Petter Kristian K&osla...
MSS
2008
IEEE
88views Hardware» more  MSS 2008»
13 years 10 months ago
Maximizing an interval order on compact subsets of its domain
Maximal elements of a binary relation on compact subsets of a metric space define a choice function. An infinite extension of transitivity is necessary and sufficient for such a c...
Nikolai S. Kukushkin
FSS
2011
74views more  FSS 2011»
13 years 5 months ago
Ambiguous representations as fuzzy relations between sets
Crisp and L-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff ...
Oleh R. Nykyforchyn, Dusan Repovs
DAM
2008
72views more  DAM 2008»
13 years 11 months ago
On the existence of maximal elements: An impossibility theorem
All sufficient (as well as necessary) conditions for a binary relation on a metric space to admit a maximal element on every nonempty compact subset of its domain that have been f...
Nikolai S. Kukushkin
FOCS
2006
IEEE
14 years 5 months ago
Algorithms on negatively curved spaces
d abstract] Robert Krauthgamer ∗ IBM Almaden James R. Lee † Institute for Advanced Study We initiate the study of approximate algorithms on negatively curved spaces. These spa...
Robert Krauthgamer, James R. Lee