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

Calculate the amount of money a person has left after death, When Ms. Jones...

When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan.  She then invested this sum in an annuity account that would pay her an equal amount at the end

Credit and invoice, mr ouma bought two sets of spanners for sh 300per set ...

mr ouma bought two sets of spanners for sh 300per set two machanic vice at sh 1000each three set of screw driver at sh 115 per set and tool box for sh 300

prove area of rhombus on hypotenuse right-angled triangle, Prove that the ...

Prove that the area of a rhombus on the hypotenuse of a right-angled triangle, with one of the angles as 60o, is equal to the sum of the areas of rhombuses with one of their angles

Addition involving negative numbers, Q. Addition Involving Negative Numbers...

Q. Addition Involving Negative Numbers? Ans. When you add together positive and negative numbers, there are essentially three possibilities that you can encounter. Let's e

Cylinder, if the diametre of the cylinder is 3.6 foot and its length is4.6f...

if the diametre of the cylinder is 3.6 foot and its length is4.6foot,then its dimension is?

Definition of differential equation, The first definition which we must cov...

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

Geometric , a part of a line with two end points.

a part of a line with two end points.

Amy purchased 6 books how much did the books cost altogether, Amy purchased...

Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.

Heat loss in a cylindrical pipe, which laws of physics are used to discuss ...

which laws of physics are used to discuss heat loss in a pipe

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