Type theory and homotopy theory have evolved into profoundly interconnected disciplines. Type theory, with its foundations in logic and computer science, provides a formal language for constructing ...

Cobordism theory, a cornerstone of geometric topology, analyses the equivalence classes of manifolds by utilising the concept of cobordism – whereby two manifolds are considered equivalent if they ...

A fully open-source, recursively verifiable framework for uplifting all intelligences — human and otherwise — via modular, autonomous infrastructure nodes (SEUIBIU) and a distributed, benevolent ...

Abstract: We present two seemingly different definitions of constructive ordinal exponentiation, where an ordinal is taken to be a transitive, extensional, and wellfounded order on a set. The first ...

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