absorbing subset

absorbing subset

[əb‚sȯrb·iŋ ′səb‚set]
(mathematics)
A subset, A, of a vector space such that, for any point, x, there exists a number, b, greater than zero such that ax is a member of A whenever the absolute value of a is greater than zero and less than b.
References in periodicals archive ?
9) That is, a semitopological algebra in which every closed, idempotent, convex, balanced, and absorbing subset is a neighbourhood of zero.