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- W3019781718 abstract "In this work we develop the higher categorical language aiming to apply it in the foundationsof physics, following an approach based in works of Urs Schreiber, John Baez, Jacob Lurie, Daniel Freed and many other, whose fundamental references are [182, 20, 124, 127, 125]. The text has three parts. In Part I we introduce categorical language with special focus in algebraic topologicalaspects, and we discuss that it is not abstract enough to give a full description for the foundationsof physics. In Part II we introduce the categorical process, which produce an abstract languagefrom a concrete language. Examples are given, again focused on Algebraic Topology. In Part IIIwe use the categorification process in order to construct arbitrarily abstract languages, the highercategorical ones, including the cohesive ∞-topos. An emphasis on the formalization of abstractstable homotopy theory is given. We discuss the reason why we should believe that cohesive∞-topos are natural languages to use in order to attack Hilbert’s sixth problem." @default.
- W3019781718 created "2020-05-01" @default.
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- W3019781718 date "2018-02-20" @default.
- W3019781718 modified "2023-09-29" @default.
- W3019781718 title "Categorical and geometrical methods in physics" @default.
- W3019781718 hasPublicationYear "2018" @default.
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