A Kleisli-based approach to lax algebras

Details A Kleisli-based approach to lax algebras A Kleisli-based approach to lax algebras

2005-10-13

arxiv.org/abs/math/0510281v2

Mathematics

Category Theory

15 pages. Revised version of the paper: some notation/wording modifications, improvement of Prop 3.3 i), presentation of the c

Scientific paper

By exploiting the description of topological spaces by either neighborhood systems or filter convergence, we obtain a neighborhood-like presentation of categories of lax algebras. A notable advantage of this approach is that it does not require the introduction of a lax extension of the associated monad functor. As a byproduct, the different philosophies underlying the construction of fuzzy topological spaces on one hand, and approach spaces on the other, may be simply expressed in terms of lax algebras.

Affiliated with

Also associated with

No associations

Rating

A Kleisli-based approach to lax algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Kleisli-based approach to lax algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Kleisli-based approach to lax algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470298