Abstract
We recall some aspects of the basic categorical concepts of limits and Kan extensions. For more background on this classical material.
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References
Bousfield, A.K., Kan, D.M.: Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics, vol. 304. Springer, Berlin (1972)
Gabriel, P., Zisman, M.: Calculus of Fractions and Homotopy Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35. Springer, New York (1967)
Hovey, M.: Model Categories. Mathematical Surveys and Monographs, vol. 63. American Mathematical Society, Providence (1999)
Kelly, G.M.: Basic concepts of enriched category theory. Repr. Theory Appl. Categ. 10, vi+137 (2005). Reprint of the 1982 original [Cambridge Univ. Press, Cambridge; MR0651714]
M. Kashiwara, P. Schapira, Categories and sheaves. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 332. Springer, Berlin (2006)
Lurie, J.: Higher Topos Theory. Annals of Mathematics Studies, vol. 170. Princeton University Press, Princeton (2009)
Mac Lane, S.: Categories for the Working Mathematician. Graduate Texts in Mathematics, vol. 5, 2nd edn. Springer, New York (1998)
Rourke, C.P., Sanderson, B.J.: △-sets. I. Homotopy theory. Quart. J. Math. Oxford Ser. 22, 321–338 (1971)
Schubert, H.: Kategorien. I, II. Heidelberger Taschenbücher, Bände, vol. 65. Springer, Berlin (1970)
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Dyckerhoff, T., Kapranov, M. (2019). Preliminaries. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_1
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DOI: https://doi.org/10.1007/978-3-030-27124-4_1
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