Sentence examples for be a compact u from inspiring English sources

(Phi Xrightrightarrows Y) be a compact u.s.c.s.c

Let X, Y be non-empty convex subsets in locally convex spaces E, F and let: (i) (Phi Xrightrightarrows Y) be a compact u.s.c.s.c

Given X a convex subset of the normed space E and Y an ANR with ({mathcal{E}}(Y neq0) imbedded in the normed space F, let: (i) (Phi Xrightrightarrows Y) be a compact u.s.c.s.c

Thus, is a compact u.s.c.s.c

Φ is a compact u.s.c.s.c

(i) is a compact u.s.c.s.c

(iii) (Homotopy) If (H: [0,1] timesbar{Omega}to E ) is a compact, u.s.c.s.c

(Homotopy) If (H: [0,1] timesbar{Omega}to E ) is a compact, u.s.c.s.c

It follows from Lemma 2.2 ii) that is a compact u.s.c.s.c

It follows from the above discussions that for each, is a compact u.s.c.s.c

In the following result, which will be used later, a particular map F is considered and conditions are given ensuring that the associated map (mathcal{F}) is a compact, u.s.c.s.c