Cf: Sign Relational Manifolds • 2
http://inquiryintoinquiry.com/2022/11/01/sign-relational-manifolds-2-2/
All,
A taste of how manifolds are used in practice may be gleaned from
the set of excerpts linked below, from Doolin and Martin (1990),
“Introduction to Differential Geometry for Engineers”, which I used
in discussing differentiable manifolds with other participants in the
IEEE Standard Upper Ontology Working Group
(
https://web.archive.org/web/20140512225349/http://suo.ieee.org/ ) .
Differential Geometry for Engineers
https://web.archive.org/web/20110612002240/http://suo.ieee.org/ontology/thr…
1.
https://web.archive.org/web/20070302105328/http://suo.ieee.org/ontology/msg…
•••
9.
https://web.archive.org/web/20070705085032/http://suo.ieee.org/ontology/msg…
What brought the concept of a manifold to my mind in that context was
a set of problems associated with “perspectivity”, “relativity”, and
“interoperability” among multiple ontologies. To my way of thinking,
those are the very sorts of problems manifolds were invented to handle.
Reference
=========
Doolin, Brian F., and Martin, Clyde F. (1990), “Introduction to
Differential Geometry for Engineers”, Marcel Dekker, New York, NY.
Regards,
Jon