et (X,a) be a topokgical space. PRopeaty C= P.c: A subset A of X has P.C if it's subset of the union of tuwo disjoint nonempty open then As contained in ony one of these subsets of open sels. Paove the falhwing: IR A and B hare PC and A08 0,then AuB has pRypekty C

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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et (X,a) be a topokgical sp ace
PRopeaty C= P.C: A subset A of X has
P.C if it's subset of the union of two
disyoint nonempty open
subsets of X
then As contained in ooly one of
these
open sels. Paove the polhowing:
f A and B bare PC
AUB has pRyperty C
and A0840,1then
Transcribed Image Text:et (X,a) be a topokgical sp ace PRopeaty C= P.C: A subset A of X has P.C if it's subset of the union of two disyoint nonempty open subsets of X then As contained in ooly one of these open sels. Paove the polhowing: f A and B bare PC AUB has pRyperty C and A0840,1then
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