Let X be a compact Hausdorff topological space and let Y be a topologi – McqOptions

MCQOPTIONS

1.	Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?
A.	f is a closed mapbut not necessarily an open map
B.	f is an open map but not necessarily a closed map
C.	f is both an open map and a closed map
D.	f need not be an open map or a closed map
Answer» E.

Discussion

No Comment Found

Related MCQs

Which of the following options is the closest in meaning to the word given below:  Primeval
A number is as much greater than 75 as it is smaller than 117. The number is:
Let X be a convex region in the plane bounded by straight lines. Let X have 7 vertices. Suppose f(x,y) = ax + by + c has maximum value M and minimum value N on X and N < M. Let S = {P ∶ P is a vertex of X and N < f(P) < M}. If S has n elements, then which of the following statements is TRUE?
Let X be an arbitrary random variable that takes values in{0,1,…,10}. The minimum and maximum possible values of the variance of X are
 The number of non-isomorphic abelian groups of order 24 is ______
 Let G be a group of order 231. The number of elements of order 11 in G is ______
Let f be an entire function on ℂ such that |f(z)| ≤ 100 log|z| for each z with |z| ≥ 2. If F(i) = 2i then f(1)
Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?
Suppose that R is a unique factorization domain and that a,b ∈R are distinct irreducible elements. Which of the following statements is TRUE?
The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is