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The Univalence Principle
[article]
2022
arXiv
pre-print
The Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based, categorical, and higher-categorical structures defined in a non-algebraic and space-based style, as well as models of higher-order theories such as topological spaces. In particular, we formulate a general definition of indiscernibility for objects of any such structure, and a corresponding univalence condition that
arXiv:2102.06275v3
fatcat:owvhzqeqt5bmznwo2ttjfi5pkm