Cf: Sign Relational Manifolds • 3
http://inquiryintoinquiry.com/2022/11/03/sign-relational-manifolds-3-2/
All,
I'm not sure when it was I first noticed the relationship between manifolds and
semiotics but I distinctly recall the passage in Serge Lang's “Differential and
Riemannian Manifolds” which brought the triadic character of tangent vectors into
high relief. I copied out a set of excerpts highlighting the point and shared it
with the Inquiry, Ontology, and Peirce lists.
Excerpts from Serge Lang, “Differential and Riemannian Manifolds”,
Springer‑Verlag, New York, NY, 1995.
Chapter 2. Manifolds
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2.1. Atlases, Charts, Morphisms
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2.2. Submanifolds, Immersions, Submersions
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Using the concepts and terminology from Lang's text, I explained the
connection between manifold theory and semiotics in the following way.
Commentary Note
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Regards,
Jon