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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