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On the formal definition of categories. (English) Zbl 0109.24202


Keywords:

set theory
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References:

[1] Bachmann, H.: Transfinite Zahlen. In: Ergebnisse der Math. Wiss. I. Berlin-Göttingen-Heidelberg: Springer 1955. · Zbl 0065.03506
[2] Bourbaki, N.: Foundations of Mathematics for the working mathematician. J. Symb. Logic14, 1-8 (1949). · Zbl 0034.00105 · doi:10.2307/2268971
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[6] Eckmann, E., andP. Hilton: Group-like structures in general categories I. Math. Annalen145, 227-255 (1962). · Zbl 0099.02101 · doi:10.1007/BF01451367
[7] Ehresmann, C.: Gattungen von lokalen Strukturen. Jber. d. Math.-Ver.60, 49-77 (1957). · Zbl 0097.37803
[8] Fraenkel, A.: Einleitung in die Mengenlehre. Berlin 1928. · JFM 54.0086.01
[9] Fraenkel, A., andY. Bar-Hillel: Foundations of set theory. Amsterdam 1958. · Zbl 0082.26203
[10] Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1958. · Zbl 0080.16201
[11] Kelley, J.: General Topology. New York: D. van Nostrand 1953. · Zbl 0157.53002
[12] Kleisli, H.: Homotopy theory in abelian categories. Canad. J. of Math.14, 139-169 (1962). · Zbl 0108.02001 · doi:10.4153/CJM-1962-011-x
[13] Lévy, A.: Axiom Schemata of strong infinity in axiomatic set theory. Pac. J. Math.10, 223-238 (1960). · Zbl 0201.32602
[14] MacLane, S.: Locally small categories and the foundations of set theory. Symposium, Warsaw 1959, p. 25-43.
[15] Tarski, A.: Über unerreichbare Kardinalzahlen. Fundamenta Mathem.30, 68-89 (1938). · JFM 64.0033.04
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