Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Oct 10, 2024

Show, a subset K of a discrete metric space X is compact if and only if it is finite. In particular, if X is infinite,

Show, a subset K of a discrete metric space X is compact if and only if it is finite. In particular, if X is infinite, then X is complete (and thus closed) and bounded, but not compact.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra and Its Applications

Authors: David C. Lay

4th edition

321791541, 978-0321388834, 978-0321791542

More Books

Students also viewed these Mathematics questions

Question

★★★★★

Determine the x and y components of each of the forces shown. 28 in. 50 lb 80 in 29 lb 51 11) 90 in 48 in

Answered: 1 week ago

Question

★★★★★

On March 1 you had installed a new printing machine, at a cost of $269,500 ($245,000 + $24,500 GST). The costs involved in installing the machine came to $16,500 ($15,000 + $1,500 GST). The machine...

Answered: 1 week ago

Question

★★★★★

3. Write a one-paragraph evaluation of each of the following headings. How clearly does the heading indicate the subject and purpose of the text that will follow it? In what ways does it fall short...

Answered: 1 week ago

Question

★★★★★

Cajun Company has outstanding 2,500 shares of $100 par, 6% preferred stock and 15,000 shares of $10 par value common. The following schedule shows the amount of dividends paid out over the last 4...

Answered: 1 week ago

Question

★★★★★

Question 4 (10 marks) A researcher has collected a sample of 25 respondents and the mean was calculated as 500. The sample was randomly drawn from a normal population whose standard deviation is 15....

Answered: 1 week ago

Question

★★★★★

E9-7 (Algo) Calculating Direct Material and Direct Labor Variances [LO 9-3, 9-4] Betty's Bakery has the following standard cost sheet for one unit of its most popular cake: During the month of May,...

Answered: 1 week ago

Question

★★★★★

Creating a graph on a separate piece of paper to answer these questions will help you! A market is characterized by the equations below: Supply: P = 24 + 60 Demand: P = 400 2Q What is the market...

Answered: 1 week ago

Question

★★★★★

3. Clair DeLoon was one of five current roommates in a house where tenants are continually moving in and moving out. An unknown past tenant vacated the premises, leaving behind a VCR and a collection...

Answered: 1 week ago

Question

★★★★★

Students will create a fictitious organization and create original HR content for this specific organization that will include: - Cover Page ( APA ) - Detailed fictitious job posting for a specific...

Answered: 1 week ago

Question

★★★★★

Marnie was tired of finding litter while walking around her neighborhood, so she decided to speak at a city council meeting to ask for additional trash cans to be installed in public spaces nearby....

Answered: 1 week ago

Question

★★★★★

A student and her boyfriend were going away to college and had quite a few personal belongings to transport. The student drove in her car while her father and her boyfriend rode in the father's van....

Answered: 1 week ago

Previous Question Next Question