Ordered Topological Structures

By Walter Tholen. 2009

47 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/67f0fbba4bf07d8addf7bffc6d4d386aa73c53d2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Walter Tholen
2. Dirk Hofmann
3. Gavin J. Seal

In Computational Theory and Mathematics

1. Walter Tholen
2. Dirk Hofmann
3. Gavin J. Seal

In Geometry and Topology

1. Gavin J. Seal
2. Dirk Hofmann
3. Walter Tholen
4. Carlos Simpson

Citations in the corpus

• Monoidal topology : a categorical approach to order, metric, and topology (2014, background): “The (T,V)-framework presented in the first subsections stems largely from [Tholen, 2009] and is augmented by crucial ingredients from [Clementino and Hofmann, 2009], such as the functor M of Theorem 5.3.5 that in essence facilitates the notion of representability of a (T,V)-category.”
• A unified framework for generalized multicategories (2009, unknown): “Mod(S)-monoids. 8.14. Example. Since topological spaces can be identified with U-monoids in Rel, they canalsobeidentified withobject-discrete ornormalized Mod(U)-monoidsin 2-Prof. In the terminology of [Tho09], a Mod(U)-monoid is a modular topological space. It is normalized precisely when its order i”