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Toposes without points. (English) Zbl 0294.18009


MSC:

18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
18B15 Embedding theorems, universal categories
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
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References:

[1] Barr, M., The point of the empty set, Cahiers Topologie Géom. Différentielle, 13, 357-368 (1973) · Zbl 0258.18003
[2] Barr, M., Exact categories, (Lecture Notes in Mathematics, 236 (1971), Springer: Springer Berlin), 1-120
[3] Barr, M.; Beck, J., Homology and standard constructions, Lecture Notes in Mathematics, 80, 245-335 (1969)
[4] Eilenberg, S.; Moore, J. C., Adjoint functors and triples, Ill. J. Math., 9, 381-398 (1965) · Zbl 0135.02103
[5] Freyd, P., Aspects of topoi, Bull. Austral. Math. Soc., 7, 1-76 (1972) · Zbl 0252.18001
[6] Grätzer, G., Lattice Theory (1971), Freeman: Freeman San Francisco, Calif · Zbl 0385.06015
[7] Isbell, J. R., Atomless parts of spaces, Math. Scand., 31, 5-32 (1972) · Zbl 0246.54028
[8] Lawvere, F. W., Quantifiers and sheaves, Actes Congr. Intern. des Mathematiciens, 1, 329-334 (1970), tome · Zbl 0261.18010
[9] MacLane, S., Categories for the Working Mathematician (1971), Springer: Springer Berlin
[10] Theorie des Topos et Cohomologie Etale des Schémas, (Lecture Notes in Mathematics, 270 (1972), Springer: Springer Berlin), Exposés V-VIII
[11] Van Osdol, D. H., Remarks concerning \(Ext^∗\)(M, -), Bull. Am. Math. Soc., 76, 612-617 (1970) · Zbl 0197.01402
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