MTH634 Quiz by S Khan Academy

SOLVED BY SANAULLAH KHAN · Quiz No.1 · MTH634 QUIZ FILE · Subject Enrolment · 1. Online classes are available (Mathematics) · 2. Solved graded activities · Assignment’s · Quizzes · GDB’s · 3. Solved quiz files · 4. Past papers · 5. Any info about virtual university of · Pakistan · Final project (MTH620) · Email: · Mr.khan.1431 · S KHAN ACADEMY

Which of the following is true?

In geometry we care about measurements but in topology we don’t care about exact measurements In a discrete space X, the derived set A’ of any subset A of X is _____

Empty set If X finite and has n elements then power set of X has _____ elements

2n A subset U of R2 is open in R2 iff it contains an ---- at each of its points

Open disk Which of the following statement is not true?

Indiscrete topology is finer than any other topology defined on the same non empty set Let X = {a, b, c, d, e} the following set is a topology on Z. {ᶲ, {a},{a, b},{a, c, d},{a, b, c, d},{a, b, e}, X} The largest topology defined on some set is the_____ Discrete Only one topology can be defined on a set.

False

𝒏 , 𝒏) =………, where N stand for set of natural numbers.

{0} Let X = {a, b, c, d} the following set is a topology on X.

{ᶲ, {c, d},{b, c, d},X} Which of the following topology contains the complete power set of set?

Let X = R with usual topology and A = (0, 3) then limit point of A is:

1.5 Every open subset of the real line is the union of disjoint------

Open intervals For an open ball centered at x = {x1, x2, ------, xn} belongs to the Rn which of the following is the correct representation?

{y|√∑ 𝒏 𝒊=𝟏 Let X be the nonempty set and T be the topology on X, then the following statements must be true. (Where P(X) denote the power set of X) t⸦P(X) Finite complement topology define on a set “A” consist of those subsets “U” of “A” such that either Uc is finite or ______

U =A The trivial topology is also called:

In a topological space the intersection of any collection of closed set is ----

Open A subset A of topological space X is close if and only if -----

A’⸦ A Which of the following are not topologically equal?

A circle and a line If some shape can be deformed in another shape then topologically, they are considered to be The same If X = R with usual topology and consider B = {1/n where n belongs to the set of natural numbers}, then the limit points of B is-----