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- W2000339732 abstract "Motivated by the observation that both pretopologies and preapproach limits can be characterized as those convergence relations which have a unit for a suitable composition, we introduce the category Algu(T;V) of reflexive and unitary lax algebras, for a symmetric monoidal closed lattice V and a Set-monad T=(T,e,m). For T=U the ultrafilter monad, we characterize exponentiable morphisms in Algu(U;V). Further, we give a sufficient condition for an object to be exponentiable in the category Alg(U;V) of reflexive and transitive lax algebras. This specializes to known and new results for pretopological, preapproach and approach spaces." @default.
- W2000339732 created "2016-06-24" @default.
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- W2000339732 date "2006-10-01" @default.
- W2000339732 modified "2023-09-27" @default.
- W2000339732 title "Exponentiation for unitary structures" @default.
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- W2000339732 doi "https://doi.org/10.1016/j.topol.2005.01.037" @default.
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