We can extend the continuity to unbounded set using the following lemma.
If G is an unbounded set and meas(G) less than , then for any z greater than 0 there exists a sufficiently large R(z) greater than 0 such that
'Some infinities are bigger than other infinities', and we should be grateful for the unbounded set
that we have been granted.
Epstein's grammatical postulations raise serious concerns over the sustainability not only of critical language in our subjects but also of the unbounded set
of potential approaches to research and methods of study.
The lower bound 3 [less than or equal to] [c.sup.B.sub.2] ([H.sup.n]) will follow as soon as for any two points [c.sub.1], [c.sub.2] [member of] [H.sup.n] we construct a partition [H.sup.n] = [A.sub.1] [union] [A.sub.2] in two Borel pieces containing no unbounded set
, symmetric with respect to a point [c.sub.i].
Zhang, "Fixed point properties for semigroups of nonlinear mappings on unbounded sets
," Journal of Mathematical Analysis and Applications, vol.