Information 2012, 3(4), 546-566; doi:10.3390/info3040546

A Toy Model for Torsorial Nature of Representations

Received: 29 June 2012; in revised form: 17 September 2012 / Accepted: 21 September 2012 / Published: 9 October 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: This paper presents a toy model for the representation related phenomena. It is the representation that is always referred to. The represented thing in itself is indeterminate existence at a fundamental level of understanding. In order to capture such property of representation, this paper provides a toy model using an algebraic structure: torsor. The toy model captures this baselessness of representation naturally, and can be used to describe various phenomena of representations. Adopting the torsor and focusing on the two-sidedness and the closure property of representation enables the toy model to express some consistency of representations.
Keywords: representation; toy model; torsor; heap; closure
PDF Full-text Download PDF Full-Text [327 KB, uploaded 9 October 2012 08:57 CEST]

Export to BibTeX |

MDPI and ACS Style

Yoshitake, M. A Toy Model for Torsorial Nature of Representations. Information 2012, 3, 546-566.

AMA Style

Yoshitake M. A Toy Model for Torsorial Nature of Representations. Information. 2012; 3(4):546-566.

Chicago/Turabian Style

Yoshitake, Makoto. 2012. "A Toy Model for Torsorial Nature of Representations." Information 3, no. 4: 546-566.

Information EISSN 2078-2489 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert