A set is open if and only if its complement is closed.

Question:

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:33 AM

See More Questions

Let V be a subset of R". a) Prove that V is open if and only if there is a collection of open balls {B : A} such that b) What happens to this result when open is replaced by closed? .
Show that a set G R is open if and only if it does not contain any of its boundary points.
A set A is called clopen if and only if it is both open and closed. a) Prove that every Euclidean space has at least two clopen sets. b) Prove that a proper subset E of Rn is connected if and only if...
Can you describe the initialisation, exploration and exploitation phases of the cat hunting optimisation algorithm?
The plaintiffs-appellants were 23 individuals who were employees of Seagull Energy. The plaintiffs comprised virtually all of the employees of the Operations and Construction Group (O&C Group), a...
Specifications on a bearing diameter are established at 8.0 0.01 cm. Samples of size n = 8 are used, and a control chart for s shows statistical control, with the best current estimate of the...
Some of the traditional sustainability reports are an integrated report, a triple bottom line report, and a CSR report. Research the background of these reports and explain the difference between...
The following data relate to Edger Company: The stock was selling at 120.5%, 108.0%, and 105.0% of book value in 2009, 2008, and 2007, respectively. Required a. Compute the following for 2009, 2008,...
You can find this question from Excel worksheet "poison pill question". Twilight has 1,000,000 shares outstanding, and the current stock price is $25 per share. Yesterday, Activist Apollo made a...
a. What is the probability that the students loan will be approved by the bank within the next three months? b. If there is a 0.75 probability to get the loan, what is the probability that the bank...
Show that S ª Tc = Sc © Tc (S © T)c = Sc ª Tc Set union and intersection have straightforward extensions to collections of sets. The union of a collection C of sets U S={x : x S...
In any metric space X, the empty set 0 and the full space X are both open and closed. A metric space is connected if it cannot be represented as the union of two disjoint open sets. In a connected...
How could/would dividends affect an EPS/EBIT analysis? Would it be correct to refer to earnings after taxes, interest, and dividends as retained earnings for a given year?
Bonnie Sparks has been receiving a $200 monthly annuity from her qualified plan account over several years. At the end of the current year, her account balance is $50,000, including a $10,000 cost...
Kathy Runde, age 66 and retired, receives a $20,000 partial distribution from her 401(k) plan. The plan does not pay out an annuity. Immediately before the distribution, her account balance is...
AJR Inc.'s qualified plan provides for the allocation of employer contributions based upon a flat rate of four percent of each employee's compensation. Nathaniel's annual compensation is equal to...
During 2019, Alec Meachin earned a net profit of $80,000 from his sole proprietorship (as reported on Schedule C). He paid $10,000 self-employment taxes during the year. What is the maximum...
Assuming adequate security and interest, how much may the qualified plan participant borrow from the plan in the following independent cases: a. The account balance is $100,000 and the participant is...
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places. Find the length of the arc of a circle of diameter 14 meters subtended by the...
Why do bars offer free peanuts?
Suppose that X is a negative binomial random variable with p _ 0.2 and r _ 4. Determine the following: (a) E(X1) (b) P(X =20) (c) P(X =19) (d) P(X =21) (e) The most likely value for X
The probability is 0.6 that a calibration of a transducer in an electronic instrument conforms to specifications for the measurement system. Assume the calibration attempts are independent. What is...
An electronic scale in an automated filling operation stops the manufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.001 and...
list 3 concepts in any subject area (ELA, Math, Science, Social Studies, etc.) that can be illustrated into a simple cartoon for students to explore, expand, or solve. Describe how the cartoon would...
Post should be at least 300350 words in length and should extend the discussion of the group supported by your course materials and/or other appropriate resource The goal of classroom behavior...
How do customer perceptions of equitys brand values compare to its competitors?

A set is open if and only if its complement is closed.

Question:

Step by Step Answer:

Assume that is open Every has a neighborhood which is disjoint from Hence no is a closure poi...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions