(b) Let U, T be usual and cofinite topologies on se:t of real numbers R and f be a map from R into R such that f(x)=1x-21 for any xER, show t.hat wheter f is U-T continuous or not and t--U continuous or not. Such that

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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that whether ivi
(b) Let U, T be usual and cofinite topologies on se:t of real numbers R
and f be a map from R into R such that f(x)=1x-21 for any xER, show
t.hat wheter f is U-T continuous or not and T---U continuous or not.
(c) Let f be a map from a space(X, T).into a space (Y, t) and t, Tzsuch that
TSt and tS T,, show that whether if f is T,---t open map then f is t--
-t open map then f is t --- Topen map or not.
open map or not, and if f is r---
てくててーでcfennaPうてーモ 。
てこて。
To Hoad of Dept.
Transcribed Image Text:that whether ivi (b) Let U, T be usual and cofinite topologies on se:t of real numbers R and f be a map from R into R such that f(x)=1x-21 for any xER, show t.hat wheter f is U-T continuous or not and T---U continuous or not. (c) Let f be a map from a space(X, T).into a space (Y, t) and t, Tzsuch that TSt and tS T,, show that whether if f is T,---t open map then f is t-- -t open map then f is t --- Topen map or not. open map or not, and if f is r--- てくててーでcfennaPうてーモ 。 てこて。 To Hoad of Dept.
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