Communes via Yoneda, from an Elementary Perspective

Issue title: From Mathematical Beauty to the Truth of Nature: to Jerzy Tiuryn on his 60th Birthday

Article type: Research Article

Authors: Pratt, Vaughan

Affiliations: Computer Science Department, Stanford University, California, USA. [email protected]

Note: [] Address for correspondence: Gates 4B, Stanford, CA 94305-9045, USA

Abstract: We present the Yoneda Lemma in terms of categories without explicit reference to the notion of functor. From this perspective we then define a commune as a common generalization of Chu spaces and presheaves, and give some applications.

Keywords: commune, yoneda, chu space

DOI: 10.3233/FI-2010-325

Journal: Fundamenta Informaticae, vol. 103, no. 1-4, pp. 203-218, 2010