1) If CI(A)= Int B = (1,4) for some subsets A,B of (0,6). Then ([0,6),T) is: A)disconnected B) connected C) second count

[answerhappygod]

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 1 (153 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 2 (82.39 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 3 (84.99 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 4 (111.44 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 5 (113.46 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 6 (282.39 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 7 (141.3 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 8 (118.18 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 9 (158.66 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 10 (101.13 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 11 (119.18 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 12 (105.04 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 13 (73.05 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 14 (145.64 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 15 (106.14 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 16 (94.23 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 17 (127.42 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 18 (142.5 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 19 (94.57 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 20 (113.88 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 21 (97.95 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 22 (82.89 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 23 (76.27 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 24 (94.49 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 25 (115.4 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 26 (93.6 KiB) Viewed 65 times

1 If Ci A Int B 1 4 For Some Subsets A B Of 0 6 Then 0 6 T Is A Disconnected B Connected C Second Count 27 (162.14 KiB) Viewed 65 times

1) If CI(A)= Int B = (1,4) for some subsets A,B of (0,6). Then ([0,6),T) is: A)disconnected B) connected C) second countable D)separable ז ור
2) The following is a first countable space: A) (R, Tcof) B) ([0,1],T coc) C) (R,T dis) D) (R-Q, Tcor)
of 3) The following is a second countable space: A) (R, Tcor) B) (Q.Tcor) C) (R, Tdis) D) (R-Q. Troc)
coc) 4)The function f :(RTU) → (R,Tu), f(x) = x* is : A) homeomorphism B) continuous and open C) open and closed D) None of above
5) The function f:(R',Tcot) → (R,Tcot) ; f((x,y) = x is A) open and closed B) open but not closed C)continuous D) closed and continuous.

7) The function f:(R,Tsorg) → (R,Tu) ; f (x,y) = [x] = the largest integer s xis A)open and continuous B)continuous Chopen D)homeomorphism 8) The sequence fin) = (1 + (11nll" is an increasing sequence of rationals
8) The sequence f(n) = (1 + (11n)]" is an increasing sequence of rationals (Math.102). In topology, ACC ((-1)"f(n), (R ,Tu))= A){2.71} B) {3} C){2} D) {e,-e}
9) Let f:(R,TL.r.) → (R,T) be a continuous function, where {(x,x):X {R} is a closed set in the product space of (R,T) with itself. Then A) f(x)=x for every x in R B) f(x)= x for all x in R C) f(x) =x for some x in R D)None of the above.
10) If (X,T) is second countable and T1.5. space. Then (X,T) is A)Hausdorff B)locally connected C) pathwise connected D)N.A.
11) If X is a countable set and (X,T) is first countable, then (X,T) is A) pathwise connected B) zero-dimensional C) second countable space D) N.A.
10) If (X,T) is second countable and T1.5. space. Then (X,T) is A)Hausdorff B)locally connected C) pathwise connected D)N.A.
12) In (R, TL...) ,if A={XER:x²24}, then Int(A)= A) (2, 0). B) (-0,2) C) (-60,-2) D) (-2,2]

13) The countable collection 12 = {[a,b):a, beq} is a base for the following topology on X=R: A) Tsorg B) Tu C) Tcoc D) N.A. TI 06 04
14) If (X,T) is a T1-space and \Xxx] = 144. Then |T|= A) 29 B) 84 C) 2144 D) N.A.
15) A retract of a connected T4-space must be: A) connected and T4 B) Locally connected C) pathwise connected D) N.A. fired naint nronort A/R T. and
and 16) The followings have the fixed point property: A) (R, Tinc, a ) ([e, r ), Tu) B) (R, Tinc, (2,4)) C) (R, Tsorg) D) ([1,6], Tdis)
-3- 17) SLC (-n), (R, TL.r.)) = A) • BR C)Z D) N.A.
18) If (X,T) is completely regular and Tospace , then it is : A) T3.5-space B) T3-space but need not be T3.5-space C) connected space D) separable space.
19)Let (X,T) be a topological space having a set A such that: |1 = 28, Int(A)|=17,|Bd(A) = 30,\Ext(A)| = 13 Then x = A)30 B) 60 C) 32 D) N.A.
21) Referring to question 19 above, Bd(X - A) = A) 19 B) 30 C) 11 D) N.A. 22) Referring to question 19 ahove IRC 11 D10
C) 11 D) N.A. 22) Referring to question 19 above, Bd(A) – A = A) 11 B) 19 C) 30 D) N.A.
C) 30 D) N.A. 23)The number of homeomorphisms from (X,Tinc,3) to (X,Texc,3) (Where X= {1,2,3,4}) is : A)4 B) 3 C)2 DO 24) Tho follow

D) N.A. B) ([1,7] ,T cof) C) (R,T coc) 25) In (R,TL.s.), N' (The derived set of N) = A) (1,0) B) [2,00) C) (1,0) D) N.A.
26) If X and Y are second countable spaces and A is any subset of the product space Xx Y. Then the space A is: A) separable but not first countable B) connected C) separable and first countable D) N.A.