10 Questions

Questions and Answers

- 1.Compact Space is studied in ......?
- A.
Mathematics

- B.
History

- C.
Literature

- D.
Music

- 2.Compact Space has the following examples except?
- A.
A rectangle

- B.
A closed interval

- C.
A finite set of points

- D.
A triangle

- 3.Which sometimes the synonym of compact space?
- A.
Compact set

- B.
Vector space

- C.
Lattices

- D.
Polytopes

- 4.In the what century did several disparate mathematical properties were understood that would later be seen as consequences of compactness?
- A.
20th Century

- B.
19th Century

- C.
18th Century

- D.
17th Century

- 5.Who had been aware that any bounded sequence of points (in the line or plane, for instance) has a subsequence that must eventually get arbitrarily close to some other point?
- A.
Isaac Newton

- B.
Bernard Bolzano

- C.
Albert Einstein

- D.
James McCaffrey

- 6.What year did Bernard Bolzano became aware that any bounded sequence of points (in the line or plane, for instance) has a subsequence that must eventually get arbitrarily close to some other point?
- A.
1928

- B.
1888

- C.
1817

- D.
1785

- 7.Bernard Bolzano had been aware that any bounded sequence of points (in the line or plane, for instance) has a subsequence that must eventually get arbitrarily close to some other point, called a .....?
- A.
Decimal point

- B.
Starting point

- C.
Ending point

- D.
Limit point

- 8.Bolzano's proof relied on the method of bisection: the sequence was placed into an interval that was then divided into how many parts?
- A.
Two

- B.
One

- C.
Five

- D.
Four

- 9.The full significance of Bolzano's theorem, and its method of proof was rediscovered by .....?
- A.
Albert Einstein

- B.
James McCaffrey

- C.
Karl Weierstrass

- D.
Isaac Newton

- 10.The full significance of Bolzano's theorem, and its method of proof, would not emerge until almost how many years later when it was rediscovered by Karl Weierstrass?
- A.
50 years

- B.
20 years

- C.
10 years

- D.
100 years