Generalizing Topology via Chu Spaces

Details Generalizing Topology via Chu Spaces Generalizing Topology via Chu Spaces

2011-01-15

arxiv.org/abs/1101.2999v1

Computer Science

Logic in Computer Science

This is paper that was written in 1999

Scientific paper

By using the representational power of Chu spaces we define the notion of a generalized topological space (or GTS, for short), i.e., a mathematical structure that generalizes the notion of a topological space. We demonstrate that these topological spaces have as special cases known topological spaces. Furthermore, we develop the various topological notions and concepts for GTS. Moreover, since the logic of Chu spaces is linear logic, we give an interpretation of most linear logic connectives as operators that yield topological spaces.

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