1). In a discrete metric space M any open Ball is
A). non empty subset of M |
B). empty |
C). either a singleton set or the whole space |
D). none of these |
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2). A metric space M is separable if there exists a
A). dense subset in M |
B). countable dense subset in M |
C). uncountable Idense subset in M |
D). none of these |
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3). Let M be an uncountable discrete metric space. Then M is
A). separable |
B). not separable |
C). empty |
D). none of these |
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4). Any discrete metric space is
A). not complete |
B). complete |
C). finite |
D). none of these |
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5). Any subspace of a complete metric space is
A). complete |
B). closed |
C). need not be complete |
D). none of these |
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6). Any subset A of a complete metric space is complete if and only if
A). A is closed |
B). A is open |
C). A is finite |
D). A is countable |
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7). A complete metric space is of
A). first category |
B). second category |
C). both (A) and (B) |
D). none of these |
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8). R is of
A). second category |
B). first category |
C). third category |
D). none of these |
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9). Any discrete metricspace is
A). first category |
B). second category |
C). third category |
D). none of these |
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10). Any discrete metric space having more than one point is
A). connected |
B). finite |
C). null set |
D). disconnected |
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