Sign in
ui-button
ui-button
Topics
General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature
Elementary Mathematics
Real Analysis
A complete metric space is of
A) first category
B) second category
C) both (A) and (B)
D) none of these
Correct Answer:
B) second category
Description for Correct answer:
Any complete metric space is of second category.
Part of solved Real Analysis questions and answers :
>> Elementary Mathematics
>> Real Analysis
Login to Bookmark
Previous Question
Next Question
Report Error
Add Bookmark
View My Bookmarks
Report error with gmail
Hide
Comments
No comments available
Login to post comment
Similar Questions
1). R is of
A). second category
B). first category
C). third category
D). none of these
-- View Answer
2). Any discrete metricspace is
A). first category
B). second category
C). third category
D). none of these
-- View Answer
3). Any discrete metric space having more than one point is
A). connected
B). finite
C). null set
D). disconnected
-- View Answer
4). M is an infinite set with discrete metric Then
A). M is compact
B). M is connected
C). M is not compact
D). None of these
-- View Answer
5). Let M be a subspace of R where \(M= [1,2]\cup [3,4]\) then \([1,2]\) is
A). open in M
B). closed in M
C). both open and closed in M
D). neither open nor closed in M
-- View Answer
6). It R be the metric space then,
A). \(\left( 0,\frac{1}{2} \right]\) is not Open in [0, 2]
B). \(\left( 0,\frac{1}{2} \right]\) is open in [0, 2]
C). \(\left( 0,\frac{1}{2} \right]\) is closed in [0, 2]
D). None of these
-- View Answer
7). Z is
A). open in R
B). closed in R
C). bounded in R
D). none of these
-- View Answer
8). Every subset of a discrete metric space
A). only open
B). only closed
C). both open and closed
D). neither open nor closed
-- View Answer
9). In with usual metric, every singleton set is
A). open
B). closed
C). both open and closed
D). none of these
-- View Answer
10). In any metric space M, \(\phi\) and M are
A). open
B). closed
C). both open and closed
D). neither open nor closed
-- View Answer