A) Cantor set is measurable and its measure zero |
B) Cantor set is equivalent to [0, 1] |
C) Cantor set is uncountable |
D) Cantor set is countable |
D) Cantor set is countable |
1). R with usual metric {0} is
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2). Which of the following is not true?
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3). Let M be any non-empty set Define \[d(x,y)=\begin{cases}0\text{ if }x=y\\1\text{ if }x\ne y\end{cases}\] This metric is called
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4). Which of the following is not correct?
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5). Let R be a metric space with usual metric \(\Large A_{n}= \left(\frac{-1}{n},\frac{1}{n}\right) \). Then \(\Large\bigcap\limits_{n=1}^{\infty}A_{n}\) is
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6). Let (M, d) be a metric space. Let \(x\in M\). Then \(\{x\}^{c}\) is
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7). Any open subset of R can be expressed as the union of a countable number of
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8). Every convergent sequence is a
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9). Every cauchy sequence is convergent. The statement is
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10). Every contmuousimage of a connected set is
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