Sketches of an Elephant: A Topos Theory Compendium Volume 1

By P. Johnstone. 2002

948 citations recorded by the source corpus.

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T-motives (2016, background): “We refer to [20] for a modern detailed textbook but see [14] for a synthetic exposition of the key facts.”
Foundations of Rigid Geometry I (2013, unknown): “[56]), quasi-compact topoi are called compact topoi.”
A topos foundation for theories of physics: I. Formal languages for physics (2007, methodology): “To gain a proper understanding of topos theory, we recommend the standard text books [7, 8, 10, 9, 11, 12]”
Monoidal topology : a categorical approach to order, metric, and topology (2014, background): “Beginners in category theory will enjoy the books [Lawvere and Rosebrugh, 2003] and [Awodey, 2006] while advanced readers are referred to [Kelly, 1982] as the standard text on enriched category theory, and to [Johnstone, 2002a,b] as a rich resource for a broad range of categorical topics.”
Double Categories of Relations (2021, unknown): “In each of [Carboni & Walters, 1987], [Freyd & Scedrov], and [Johnstone, 2001], there is only one level of arrow, so that the corresponding map is extremal is a consequence of the fact that it turns out to be both simple and entire.”
ON INVERSE SEMIGROUP C ∗ -ALGEBRAS AND CROSSED PRODUCTS (2011, background): “where ' and are weak equivalences [7], [8].”