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CCA
2009
Springer
14 years 1 months ago
Computability of Homology for Compact Absolute Neighbourhood Retracts
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...
Pieter Collins
FSS
2011
74views more  FSS 2011»
13 years 2 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
APAL
2010
141views more  APAL 2010»
13 years 7 months ago
Locatedness and overt sublocales
Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to ...
Bas Spitters
JSYML
2010
60views more  JSYML 2010»
13 years 2 months ago
Generalizations of small profinite structures
We generalize the model theory of small profinite structures developed by Newelski to the case of compact metric spaces considered together with compact groups of homeomorphisms a...
Krzysztof Krupinski
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 7 months ago
Bases as Coalgebras
Abstract. The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of thi...
Bart Jacobs