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Let T {R, } U {GkER} be the class of subsets of the plane R where Gk = {(x, y) x,y ER, x >
Let T {R, } U {GkER} be the class of subsets of the plane R where Gk = {(x, y) x,y ER, x > y + k} (i) (ii) Prove that T is a topology on R. Is T a topology on R2 if "k ER" is replaced by "kEN"? by "kEQ"?
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TE R GK KER Solution Let be the Plane R 2 class of subsets f the ...
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
