Generalizing Topology via Chu Spaces

نویسندگان

  • Basil K. Papadopoulos
  • Apostolos Syropoulos
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/1101.2999  شماره 

صفحات  -

تاریخ انتشار 2011