Rakesh posted an Question
July 20, 2020 • 23:34 pm 30 points
  • CSIR NET
  • Mathematical Sciences

If r denotes the set of real numbers, t the cofinite topoiogy on r and u the usual topology on and ifs : (8, t}pr, d) and g: (r, up{r, t) be identity rmaps, the

If R denotes the set of real numbers, T the cofinite topoiogy on R and U the usual topology on and ifS : (8, T}PR, D) and g: (R, UP{R, T) be identity rmaps, then which of the following is true? a) is continuous, g is discontinuous (b) g is continuous, fis discontinuous (c fand g both are continuous (d fand g both are discontinuous 46

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  • Shashi ranjan sinha

    This is the proof of the fact that usual topology on R is finer than cofinite topology and it will help you in understanding the solution of given question

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  • Shashi ranjan sinha Best Answer

    see the attachment. correct option is b

    cropped4546645564977560534.jpg
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