Geodesic
Elements of Packing and Covering
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 671-677

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The term 'covering' is known to any student who has seen the Heine-Borel theorem and he soon learns that it denotes a very basic and widely used concept. Quite generally, a family {Xα: α ∈ A} of a subsets of X is a covering of the subset Y of X if .The concept of packing is perhaps no less frequently encountered although the term has only a rather specialized use. In general, a packing is any family of subsets {Xα: α ∈ A} of a set X which a re pairwise disjoint. To make this definition more similar to that of covering, we might define {Xα} to be a packing of the subset Y of X if Xα ∩ Xβ ∩ Y = φ for α ≠ β. This is intended to suggest only a P that there is a certain parallel between the ideas of packing and covering but not a duality in any technical sense. 
Oler, N. Elements of Packing and Covering. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 671-677. doi: 10.4153/CMB-1968-080-1
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     author = {Oler, N.},
     title = {Elements of {Packing} and {Covering}},
     journal = {Canadian mathematical bulletin},
     pages = {671--677},
     year = {1968},
     volume = {11},
     number = {5},
     doi = {10.4153/CMB-1968-080-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-080-1/}
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