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arxiv: 1802.02284 · v1 · pith:GRSF6OZ6new · submitted 2018-02-07 · 🧮 math.AG · math-ph· math.CT· math.MP

infty-topoi and Natural Phenomena: Generation

classification 🧮 math.AG math-phmath.CTmath.MP
keywords inftytoposcategoryhighernaturalphenomenasegaltopoi
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We show that the Segal topos of derived stacks over simplicial commutative $k$-algebras, which can be used to model natural phenomena, has a subobject classifier, something we regard as being a source from which dynamics is generated. This is done by considering the $\infty$-category associated to such a Segal topos, which turns out to be an $\infty$-topos. At this point we have the formalism of Higher topoi at our disposal to deal with Higher Category Theory concepts in a transparent manner.

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