The first of these sessions should cover material on computations of (co)limits in∞-categories which will beneeded for the study of presheaves. One should explain [Section 4.2.4] which allows to reduce the calculation of limitsand colimits in∞-categories to the calculation of homotopy colimits in model categories. This will be useful in manycases, e.g. to prove∞-categorical Yoneda lemma. Perhaps, examples of (co)limits in the∞-category of spaces couldbe given.The results of propositions [4.2.2.4, 4.2.2.7] will be used to prove the existence of small limits and colimits in∞-categories of presheaves. Proposition [4.2.3.14] is used to prove that Yoneda lemma preserves limits.
Dienstag, den 28. Mai 2019 um 11:15 Uhr, in INF 205, SR 3 Dienstag, den 28. Mai 2019 at 11:15, in INF 205, SR 3