Yoneda Lemma for Elementary Higher Toposes
Nima Rasekh
TL;DR
This paper extends the Yoneda lemma to elementary higher toposes, broadening its applicability beyond spaces and providing a foundational result in higher category theory.
Contribution
It generalizes the Yoneda lemma to the setting of elementary higher toposes, a significant theoretical advancement.
Findings
Proves the Yoneda lemma in the context of elementary higher toposes
Establishes a foundational result for higher category theory
Broadens the scope of the Yoneda lemma beyond spaces
Abstract
We prove the Yoneda lemma inside an elementary higher topos, generalizing the Yonda lemma for spaces.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Intracranial Aneurysms: Treatment and Complications