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Basic Concepts of Quantale-Enriched Topologies by Javier Gutiérrez García; Ulrich Höhle; Tomasz Kubiak is a Mathematics article available to read on EtoBox.

What is Basic Concepts of Quantale-Enriched Topologies about?

The categorical framework for our axioms of quantale-enriched topologies is the theory of modules in the monoidal category Sup and its free right modules generated by power sets. To express the intersection axiom we introduce the structure of a quasi-magma on a quantale. By selecting appropriate quantales and their corresponding quasi-magmas, we show that some well-established mathematical structures become quantale-enriched topologies. These include, among others, the closed left ideal lattices of non-commutative C \* algebras, lower regular function frames of approach spaces as well as quantale-valued topological spaces.

Who reads Basic Concepts of Quantale-Enriched Topologies?

Author

Javier Gutiérrez García; Ulrich Höhle; Tomasz Kubiak

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)