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

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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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     title = {A {Condition} for {Equality} of {Cardinals} of {Minimal} {Generators} {Under} {Closure} {Operators}},
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     doi = {10.4153/CMB-1971-102-x},
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