ISBN-10: 1316009319

ISBN-13: 9781316009314

[i]Monoidal Topology[i] describes an lively study zone that, after quite a few prior proposals on easy methods to axiomatize 'spaces' by way of convergence, started to emerge before everything of the millennium.

It combines Barr's relational presentation of topological areas when it comes to ultrafilter convergence with Lawvere's interpretation of metric areas as small different types enriched over the prolonged genuine half-line. accordingly, outfitted with a quantale V (replacing the reals) and a monad T (replacing the ultrafilter monad) laxly prolonged from set maps to V-valued family members, the e-book develops a specific concept of (T, V)-algebras that's encouraged at the same time via its metric and topological roots.

The e-book highlights specifically the prestigious function of equationally outlined buildings in the given lax-algebraic context and offers a variety of new effects starting from topology and process conception to area thought.

All the mandatory pre-requisites so as and type concept are offered within the publication