Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Monoidal Topology : A Categorical Approach to Order, Metric, and Topology - Dirk Hofmann

Monoidal Topology

A Categorical Approach to Order, Metric, and Topology

By: Dirk Hofmann (Editor), Gavin J. Seal (Editor), Walter Tholen (Editor)

Hardcover | 31 July 2014

At a Glance

Hardcover

RRP $293.95

$254.75

13%OFF

or 4 interest-free payments of $63.69 with

 or 

Ships in 5 to 7 business days

Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize ''spaces'' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr''s relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere''s interpretation of metric spaces as small categories enriched over the extended real half-line. Hence, equipped with a quantale V (replacing the reals) and a monad T (replacing the ultrafilter monad) laxly extended from set maps to V-valued relations, the book develops a categorical theory of (T,V)-algebras that is inspired simultaneously by its metric and topological roots. The book highlights in particular the distinguished role of equationally defined structures within the given lax-algebraic context and presents numerous new results ranging from topology and approach theory to domain theory. All the necessary pre-requisites in order and category theory are presented in the book.

You Can Find This Book In

Non-FictionMathematicsTopologyMathematical FoundationMathematical LogicSet Theory

More in Topology

$G$-Global Homotopy Theory and Algebraic $K$-Theory - Tobias Lenz

$G$-Global Homotopy Theory and Algebraic $K$-Theory

Paperback

RRP $197.00

$187.75

The Global Solutions to a Cartan's Realization Problem - Rui Loja Fernandes

The Global Solutions to a Cartan's Realization Problem

Paperback

RRP $197.00

$187.75

Differential Topology : AMS Chelsea Publishing - Victor Guillemin

Differential Topology

AMS Chelsea Publishing

Paperback

RRP $160.00

$154.75

Measure Theory and Integration - Andrea Carpignani

Measure Theory and Integration

Hardcover

$349.75

Algebraic Topology - No Information Available

Algebraic Topology

Paperback

RRP $75.95

$64.99

14%
OFF
ADVANCED CALCULUS (REV ED) - STERNBERG SHLOMO

ADVANCED CALCULUS (REV ED)

Paperback

RRP $68.99

$62.75

TOPOLOGY AND PHYSICS - YANG CHEN NING

TOPOLOGY AND PHYSICS

Paperback

RRP $50.99

$45.99

10%
OFF
Morse Index of Minimal Submanifolds - Francisco Urbano

Morse Index of Minimal Submanifolds

Paperback

RRP $312.00

$290.99

Continuous Combinatorics of Abelian Group Actions - Su Gao

Continuous Combinatorics of Abelian Group Actions

Paperback

RRP $197.00

$187.75

Ricci Solitons in Dimensions $4$ and Higher - Bennett Chow

Ricci Solitons in Dimensions $4$ and Higher

Paperback

RRP $312.00

$290.99

Principles of Topology - Miriam Court

Principles of Topology

Hardcover

$418.75

Comparison Theorems in Riemannian Geometry - Jeff Cheeger

Comparison Theorems in Riemannian Geometry

Paperback

RRP $160.00

$154.75

This product is categorised by