Question

Show that if F1 and F2 are connected sets. Then show if F1 ∩ F2 is...

Show that if F1 and F2 are connected sets.

Then show if F1 ∩ F2 is not empty, then F1 ∪ F2 is connected.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f1, f2, f3: [a,b] -->R be nonnegative concave functions such that f1(a) = f2(a) =...
Let f1, f2, f3: [a,b] -->R be nonnegative concave functions such that f1(a) = f2(a) = f3(a) = f1(b) = f2(b) = f3(b) = 0. Suppose that max(f1) <= max(f2) <= max(f3). Prove that: max(f1) + max(f2) <= max(f1+f2+f3)
(i) Suppose that f1, f2 are lower semicontinuous at a. Prove that max{f1, f2} is lower...
(i) Suppose that f1, f2 are lower semicontinuous at a. Prove that max{f1, f2} is lower semicontinuous at a. (ii) Prove or disprove that f1 − f2 is lower semicontinuous a.
Let f1, f2, . . . ∈ k[x1, . . . , xn ] be an...
Let f1, f2, . . . ∈ k[x1, . . . , xn ] be an infinite collection of polynomials and let I = < f1, f2, . . .> be the ideal they generate. Prove that there is an integer N such that I = . Hint: Use f1, f2, . . . to create an ascending chain of ideal
The Fibonacci series can be defined recursively as: F1 = 0; F2 = 1; and Fn...
The Fibonacci series can be defined recursively as: F1 = 0; F2 = 1; and Fn = Fn-2 + Fn-1. Show inductively that: (F1)2 + (F2)2 + ... + (Fn)2 = (Fn)(Fn+1).
What are the expected F1 and F2 [F1 siblings are mated] generations for the following crosses....
What are the expected F1 and F2 [F1 siblings are mated] generations for the following crosses. Provide phenotypic and genotypic ratios for both the F1 and F2 offspring. a) Parents: EEBB (Black) × EEbb (chocolate) b) Parents: eeBB (Yellow) × EEbb (chocolate)
Two forces, F1 and F2, have the same magnitude and both act on an object that...
Two forces, F1 and F2, have the same magnitude and both act on an object that can rotate about a fixed axis of rotation. If the forces F1 and F2 point in opposite directions, and the torque produced by F1 is clockwise, then the torque produced by F2 must be counterclockwise. True or false?
Two different forecasting techniques (F1 and F2) were used to forecast demand for cases of bottled...
Two different forecasting techniques (F1 and F2) were used to forecast demand for cases of bottled water. Actual demand and the two sets of forecasts are as follows: PREDICTED DEMAND Period Demand F1 F2 1 68 60 61 2 75 65 68 3 70 73 70 4 74 71 73 5 69 71 74 6 72 65 78 7 80 70 75 8 78 76 80 a. Compute MAD for each set of forecasts. Given your results, which forecast appears...
Derive the expression for the beat frequency: fbeat = |f1- f2|
Derive the expression for the beat frequency: fbeat = |f1- f2|
Fibonacci Numbers. The Fibonacci numbers are 1,1,2,3,5,8,13,21,….1,1,2,3,5,8,13,21,…. We can define them inductively by f1=1,f1=1, f2=1,f2=1, and...
Fibonacci Numbers. The Fibonacci numbers are 1,1,2,3,5,8,13,21,….1,1,2,3,5,8,13,21,…. We can define them inductively by f1=1,f1=1, f2=1,f2=1, and fn+2=fn+1+fnfn+2=fn+1+fn for n∈N. Prove that fn=[(1+√5)n−(1−√5)n]/2n√5.
The following two frequencies (f1 and f2 ) are related to ionospheric sky wave propagation :...
The following two frequencies (f1 and f2 ) are related to ionospheric sky wave propagation : f1 = 17 MHz , f2 = 5 MHz. One of them is the maximum frequency returned by the ionosphere when the waves are transmitted vertically upwards, and the other is the maximum frequency returned by the ionosphere at zero take-off angle. Name these two frequencies f1 and f2 . Also calculate the height of the F layer for these pair of frequencies.