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math.AT2026
-Limits I: Definition and first consistency results
Lyne Moser, Nima Rasekh, Martina Rovelli
We give a model-independent definition of limits for diagrams valued in an -category. We show that this definition is compatible with the existing notion of homotopy 2-…
math.AT2026
Fractured Structures in Condensed Mathematics
Nima Rasekh, Qi Zhu
We construct a fractured structure, in the sense of Lurie, on the -topos of condensed anima. This fractured structure allows us to better comprehend various properties of c…
math.AT2024
-Limits II: Comparison across models
Lyne Moser, Martina Rovelli, Nima Rasekh
We show that the notion of -limit defined using the enriched approach and the one defined using the internal approach coincide. We also give explicit constructions of v…