43 research outputs found
Extensions of BV compactness criteria
Helly's selection theorem provides a criterion for compactness of sets of
single-variable functions with bounded pointwise variation. Fra{\v{n}}kov{\'a}
has given a proper extension of Helly's theorem to the setting of
single-variable regulated functions. We show how a similar approach yields
extensions of the standard compactness criterion for multi-variable functions
of bounded variation