Ankur Rao Asked a Question
January 11, 2021 4:55 pmpts 30 pts
Let f: R:R>R be defined by f(t)=t and let U be any non-empty open subset of R then f(U) is open S(U)is open may be closed O(U) may be osed
  • 1 Answer(s)
  • like-1
  • 1 Likes
  • 7 Comments
  • Shares
  • Piyush
    Option AB is correct. Continuity implies both
    Likes(0) Reply(1)
    Ankur Rao
    continuity doesn't implies 1st
  • Mahendra devanda
    any doubt plz ask
    Likes(0) Reply(0)
  • Mahendra devanda Best Answer
    so option A and B is correct
    Likes(0) Reply(0)
  • Mahendra devanda
    bcoz under continuity inverse image of an open set is always an open set
    Likes(0) Reply(2)
    Ankur Rao
    option A
  • Mahendra devanda
    option D isn't correct
    Likes(0) Reply(0)
  • Mahendra devanda
    c is not true
    Likes(0) Reply(0)
  • Mahendra devanda
    For option B visit the following link. 1. https://math.stackexchange.com/questions/843909/prove-that-the-inverse-image-of-an-open-set-is-open
    Likes(0) Reply(4)
    Ankur Rao
    which of options is correct in this sir