Question: Consider X = {x,y,z). Select each and every topology, T, that results in a disconnected topological space. T = {x, , {x}, {z}, {x,Z}}

Consider X = {x,y,z). Select each and every topology, T, that results

Consider X = {x,y,z). Select each and every topology, T, that results in a disconnected topological space. T = {x, , {x}, {z}, {x,Z}} T = (x, . {x,y}, {z}} T = {x, , {y}} T = (x, , {x}, {y}, {x,y}, {x,z}} T = (x , {x}, {y}, {z}, {x,y), (x,z), (y,z}}

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

ii Given X xyz T x x y xz I there does not exist A and B sit AnB and AUBX So this is ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A large automobile manufacturer has developed a continuous variable transmission (CVT) that provides smooth shifting and enhances fuel efficiency by 22 mpg of gasoline. The extra cost of a CVT is...

You are given a bucket that contains 100 coins. 99 of these are fair coins, but one of them is a trick coin that always up heads. You select one coin from this bucket at random. Let T be the event...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

Consider the problem of the sophisticate who has a membership at the gym. Let us limit the problem to four periods. Exercising in any period yields an immediate cost of c and a reward in all...

MATH S350 TMA 01 Hints Question 1 Let A and B be the event that water is contaminated with excessive amount of pollutant A and pollutatnt B respectively. Remarks: 1. Half of those communities whose...

2 For the following set of equations: Ax 1 2 1 1 1 2 2 1 1 x y z = 4 6 1 b where the inverse of the matrix above is A1 = 1 14 3 1 5 5 3 1 1 5 3 . (a) Solve for the three variables x, y and z, using...

Lee Inc. is an American firm that will need to make a payment of 889,000 Australian dollars in 90 days. Currently, the spot exchange rate is USD 0.9377/AUD. The company wants to hedge the transaction...

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Question 11 pts In the article by Sachs, Mellinger and Gallup titled "The Geography of Poverty and Wealth", the authors note that there is a concentration of high and middle income countries in the...

Comparative Programming Languages.Make sense of what certified influence all of the three terms is endeavoring to show and get a handle on what all of the going with pictures suggests, inside the...

(a) Show that if a > 0, then the function x xa is strictly increasing on (0, ) to R and that (b) Show that if a lim 0 and limoo lim xoe-00 and limx"_ 0.

A Plant which cost OMR 200,000 is acquired on December 31, 2016. Its estimated salvage value is OMR 20,000 and its expected life is 5 years. Calculate depreciation for 5 years by each of the...

Sketch the parametric curve and eliminate the parameter t o find the Cartesian equation o f the curve. Sketch the parametric curve and eliminate the parameter t o find the Cartesian equation o f the...

Superior Developers sells lots for residential development. When lots are sold, Superior recognizes income for financial reporting purposes in the year of the sale. For some lots, Superior recognizes...

The Royal Seas Company runs a three-night cruise to the Caribbean from Port Canaveral. The company wants to run TV ads promoting its cruises to high-income men, high-income women, and retirees. The...

A spreadsheet containing Whistler Corporations financial statements is available for download from McGraw-Hills Connect or your course instructor (see the Preface for more information). a. Prepare a...

The trustee of the Pieper Trust can distribute any amount of accounting income and corpus to the trusts beneficiaries, Lydia and Kent. This year, the trust incurred the following. Taxable interest...

Yoko Iwabuchi is the controller of Kondo, Inc., an electronic controls company located in Osaka. She recently attended a seminar on activity-based costing (ABC) in Tokyo. Kondos traditional cost...

Find the mass of the solid E having density f(x,y,z)=z. The solid lies above the paraboloidf(x,y)=x2+y2and below the conef(x,y)=x2+y2.Group of answer choicespi/6pi/24none of these abovepi/12pi/15

Define 7: Rn R by 7([x1, x2xn]T) = x1, + x2 ++ xn Show that T is a linear transformation and find its matrix.

If U is a subspace of Rn, show that projU(X) = X for all X in U.

Given the situation in Theorem 4, write f(x) = r0p0 (x) + r1p1(x) + + rmpm (x) Suppose that f(x) has at most k roots for any choice of the coefficients r0,r1,..., rm, not all zero. (a) Show that...

An item that costs a store $152.50 is marked up by $47.45. Determine: a. The rate of markup on cost. b. The rate of markup on selling price.

Sutton Trucking made two equal payments, on June 25 and July 15, on an invoice for $6350 dated June 15 with terms 3/10, 1/30, n/60. The payments reduced the balance owed on the invoice to $1043.33....

Omega Restaurant buys Shiraz wine at $16.95 per bottle, and sells it to customers at $34.95 per bottle. Calculate Omegas rate of markup on cost and rate of markup on selling price of the wine.