For example, the binary vectors (binary words, bit strings) of length 3 in lexicographic order are (0,0,0), (0,0,1), (0,1,0), (0,1,1 ), (1,0,0), (1,0,1), (1,1,0), (1,1,1). If A={a,b,c}, they determine the subsets { }, {c}, {b}, {b, c}, {a}, {a, c}, {a, b}, { a , b, c}. What is the name of this order of the subsets? Can you point me to sources to cite?
Thank you!