Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Apr 26, 2024

Prove that set S is not connected if (i) it can be written as union of two closed set. (ii) It can be written

Prove that set S is not connected if (i) it can be written as union of two closed set. (ii) It can be written as union of two open sets.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Lets start with the first statement i If a set S can be written as the union of two disjoint closed ... blur-text-image

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

Measures Integrals And Martingales

Authors: René L. Schilling

2nd Edition

1316620247, 978-1316620243

More Books

Students also viewed these Mathematics questions

Question

Overhead Variances, Four-Variance Analysis, Journal Entries Janson, Inc., uses a standard costing system. The predetermined overhead rates are calculated using practical capacity. Practical capacity...

Answered: 1 week ago

Question

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Answered: 1 week ago

Question

Data set Theory Assume an informational record with one association parent including matches (a, b) where a can't try not to be a parent of b. (a) Write a Datalog demand which gives the graph of...

Answered: 1 week ago

Question

★★★★★

Table # 11.1.1: Autism Versus Breastfeeding Breast Feeding Timelines Autism Yes No None 241 20 Column Total 261 Less than 2 months 198 25 223 2 to 6 months 164 27 191 More than 6 months 215 44 259...

Answered: 1 week ago

Question

★★★★★

The length of time spent waiting in line at a certain bank is modeled by an exponential density function with mean 8 minutes. (a) What is the probability that a customer is served in the first 3...

Answered: 1 week ago

Question

★★★★★

An exponential expression for the index of refraction is given by n = 1 +315 106 exp(-0.136h) where the altitude h is in Km. Calculate the index of refraction for a well mixed atmosphere at 10% and...

Answered: 1 week ago

Question

★★★★★

Why are stereotypes so resistant to change?

Answered: 1 week ago

Question

★★★★★

The Specialty Department Stores, Inc., chief executive officer (CEO) has asked you to compare the company's profit performance and financial position with the average for the industry. The CEO has...

Answered: 1 week ago

Question

★★★★★

O solutions submitted (max: Unlimited) A fenced enclosure consists of a rectangle of length Labutted to a semicircle of radius R. see figure above. The enclosure is to be built to have an area A of...

Answered: 1 week ago

Question

★★★★★

If design capacity is 5000 units, effective capacity is 4000 units, and actual output is 3000 units, efficiency is A. 62.5% B. 80% C. 50% D. 75% E. 60% F. 40%

Answered: 1 week ago

Question

★★★★★

Inventory Microbucks Computer Company makes two computers, the Pomegranate II and the Pomegranate Classic, at two different factories. The Pom II requires 2 processor chips, 16 memory chips, and 20...

Answered: 1 week ago

Question

★★★★★

Calculate the Critical Ratios (CR): (Enter all responses rounded to two decimal places.) Job CR 1 The following jobs are waiting to be processed at Jeremy LaMontagne's machine center. Today is day...

Answered: 1 week ago

Question

★★★★★

Employees at a large manufacturer are surprised to find that cameras have been installed throughout the plant and all email communications are being monitored. Many are concerned about privacy and...

Answered: 1 week ago

Question

★★★★★

Compute Wynn Memorial Nursing Home's days in accounts receivable. Compute Wynn Memorial Nursing Home's average payment period. Balance Sheet for Wynn Memorial Nursing Home Wynn Memorial Nursing Home...

Answered: 1 week ago

Question

★★★★★

10. Three polarizing disks have planes that are parallel and centered on a common axis. The direction of the transmission axis (dashed line) in each case is shown relative to the common vertical...

Answered: 1 week ago

Question

★★★★★

QUESTION 3 Answer the following questions using the information below: Velshi Printers has contracts to complete weekly supplements required by forty-six customers. For the year 2015, manufacturing...

Answered: 1 week ago

Question

★★★★★

I frequently use NY Times and CNN and am aware of Fox News but I never use it. I visit these sites, NY Times and CNN, a few times a week whenever I have to research something or see something on...

Answered: 1 week ago

Question

★★★★★

Let \(\phi \in \mathcal{L}^{1}([0,1], d x)\) and define \(f(t):=\int_{[0,1]}|\phi(x)-t| d x\). Show that (i) \(f\) is continuous, (ii) \(f\) is differentiable at \(t \in \mathbb{R}\) if, and only if,...

Answered: 1 week ago

Question

★★★★★

3D polar coordinates. Define \(\Phi:[0, \infty) \times[0,2 \pi) \times[-\pi / 2, \pi / 2) ightarrow \mathbb{R}^{3}\) by \[\Phi(r, \theta, \omega):=(r \cos \theta \cos \omega, r \sin \theta \cos...

Answered: 1 week ago

Question

★★★★★

Use Theorem 2.7 to show that \(\# \mathbb{N} \times \mathbb{N}=\# \mathbb{N}\). [ \(\# \mathbb{N}=\# \mathbb{N} \times\{1\}\) and \(\mathbb{N} \times\{1\} \subset \mathbb{N} \times \mathbb{N}\)....

Answered: 1 week ago

Question

★★★★★

=+3. What is the Type A behavior pattern, and what specific aspect of it is most often linked to coronary disease?

Answered: 1 week ago

Question

★★★★★

=+1. Consider a facet of your personality that you might want to change. From the perspective of Freuds psychoanalytic theory and Rogerss

Answered: 1 week ago

Question

★★★★★

=+2. If the researchers concluded that the self-efficacy manipulation caused these differences, would their conclusion be justified? Explain.

Answered: 1 week ago

Previous Question Next Question