Tietze extension theorem
The Tietze extension theorem in topology states that, if X is a normal topological space and- f : A -> R
- F : X -> R
The theorem generalizes Urysohn's lemma and is widely applicable, since all metric spaces and all compact Hausdorff spaces are normal.
Charteris, almost trapped in it,
the fire irons with a crash as he does so.)
CRAVEN (who has crossed to the whirling bookcase and stopped it). What
right.html">right.html">right.html">right hand door.html">door.html">door.html">door, when Cuthbertson appears at it.)
CUTHBERTSON. May I take you down? (He offers her his arm.)
JULIA. No, really: you know it's against the rules of the club to
lunch in the Ibsen fashion.html">fashion--the unsexed fashion. (He goes out on the
door to see whether Julia is coming, and stops when he sees she is
(Charteris is meanwhile stealing to the right hand door.) Don't wait
right, Daddy.
CRAVEN (very gravely). Don't be long, my dear. (He goes out.)
CHARTERIS. I'm off. (Makes a dash for the right hand door.)
JULIA (darting at him and seizing his wrist). Aren't you coming?
CHARTERIS. No. Unhand me Julia. (He tries to get away: she holds him.)
you be so rough with me, dear. Did you get my letter?
CHARTERIS. Burnt it--(she turns away, struck to the heart, and buries
of my regard. (He turns to go, but is stopped by the return of Sylvia.
up from the table.)
SYLVIA (offhandedly). Hallo, Charteris: how are you getting on? (She
seen Grace Tranfield this morning? (Julia drops the paper and comes a
me.
SYLVIA. Sylvia! How often am/am.html">am I to tell you that I am not Sylvia at the
the shoulder).
SYLVIA. That's better--a little overdone, but better.
JULIA. Don't be a fool, Silly.
SYLVIA. Remember, Julia, if you please, that here we are members.
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