Tensor Products of Operator Categories.
The category of opetopes and the category of opetopic sets.
The Non-Simplicity of Certain Categories of Topological Spaces.
Towards a logic of semiotic systems
The rationalistic denotational approach to semantics is not adequate for capturing the structural dimension of meaning, which is immanent in semiotic systems. The demand for a structural approach to semantics is intensified by a turn in Artificial Intelligence, introduced by Connectionism and Information Retrieval. This paper presents such a structural approach to semantics founded on the phenomenological and autopoietic paradigms and proposes a formalization with the help of category theory.