Metric space, Mathematics

Assignment Help:

Assume that (X, d) is a metric space and let (x1, : : : , xn) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , xn) obtained by removing every xi from X is open in X. (Sketch a picture to get some intuition!)


Related Discussions:- Metric space

What is the evaluation of angle, In a periscope, a pair of mirrors is mount...

In a periscope, a pair of mirrors is mounted parallel to each other as given. The path of light becomes a transversal. If ∠2 evaluate 50°, what is the evaluation of ∠3? a. 50°

What is his test average, Steve earned a 96 percent on his ?rst math test, ...

Steve earned a 96 percent on his ?rst math test, a 74% on his second test, and an 85 percent on his third test. What is his test average? Add the test grades (96 + 74 + 85 = 25

Give an example of numerator and denominator, Give an example of Numerator ...

Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and

Algebra, what is the answers of exercise 3.1

what is the answers of exercise 3.1

Mechanics, find the composition of the simple harmonic motion of the same p...

find the composition of the simple harmonic motion of the same period in the perpendicular directions

Find out the probability, a)  A husband and wife appear in an interview for...

a)  A husband and wife appear in an interview for two vacancies in the same post.  The probability of husband's selection is 1/7 and that of wife's selection is 1/5.  What is th

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

Testing the difference between two sample means-illustration, An observatio...

An observation was made concerning reading abilities of males and females. The observation leads to a conclusion that females are faster readers than males. The observation was bas

Define histogram, Q. Define histogram? Ans. A histogram is a bar g...

Q. Define histogram? Ans. A histogram is a bar graph that gives the frequency of each value. Here are a few examples to illustrate the usefulness of this method of data r

Differential equation, Question: In the interest of saving up enough mo...

Question: In the interest of saving up enough money for retirement, you have created a bank account to store a  sum of money. Compound interest on  this account is accumulated

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd