Geodesic
A Condition for Equality of Cardinals of Minimal Generators Under Closure Operators
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 569-570

Voir la notice de l'article provenant de la source Cambridge University Press

Let C be an operator on the subsets of a set X with values among the subsets of X. We assume that C is a closure operator in X, i.e. a monotone, idempotent and extensive operator in X (cf., e.g., Birkhoff [3, p. 39], Schmidt [1], [2]). If A ⊆ X and B ⊆ X, we say that A and B are C-equivalent if C(A) = C(B) (Bleicher- Marczewski [4, p. 210]). 
Jr, Japheth Hall. A Condition for Equality of Cardinals of Minimal Generators Under Closure Operators. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 569-570. doi: 10.4153/CMB-1971-102-x
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[1] 1. Schmidt, J., Einige grundlegende Begriffe und Satz aus der Theorie der Hullenoperatoren, Bericht uber mathematische Tagung, Berlin (1953), 21-48. Google Scholar

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[4] 4. Bleicher, M. N. and Marczewski, E., Remarks on dependence relations and closure operators, Colloquium Mathematicum IX (1962), 209-211. Google Scholar

[5] 5. Bleicher, M. N. and Preston, B. B., Abstract linear dependence relations, Publ. Math. Debrecen 8 (1961), 55-63. Google Scholar

[6] 6. Taylor, A. E., Introduction to Functional Analysis, Wiley, New York, 1964. Google Scholar

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