A uniform space s u is called separated iff for every x y, Ask an Expert

Statistics

A uniform space (S, U ) is called separated iff for every x /= y in S, there is a U ∈ U with (x, y) ∈/ U .

(a) Show that the uniform topology of a separated uniformity is always Hausdorff.

(b) Show that if S has more than one point, a separated uniformity never converges as a filter for its product topology.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91641667

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

One sample has n 8 and ss 21 and a second sample has n 8

One sample has n = 8 and SS = 21 and a second sample has n = 8 and SS = 35. What is the pooled variance for the two samples?

A using an hp 12c calculator what are the correct steps to

a) Using an hp 12c calculator, what are the correct steps to calculate IRR entered as monthly payments and if summed up for a year? b) Using an hp 12c calculator, what is the best way to calculate effective interest rate ...

A national report indicates that the mean and standard

A national report indicates that the mean and standard deviation of the ACT scores of incoming freshman at American public universities are 24.6 and 6.2, respectively. A sample of 30 incoming freshmen at a small, suburba ...

In families with four children youre interested in the

In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-col ...

Income can have significant effects on peoples spending

Income can have significant effects on people's spending patterns. Research studies have revealed that consumer expenditure is influenced by various factors such as their income, gender, age and level of education. In or ...

Penney wishes to borrow 75000 today for the purchase of

Penney wishes to borrow $75,000 today for the purchase of bakery equipment. She have an agreement with their commercial banker that she can borrow money at an annual rate of 7.75%. How much will she owe if she repay the ...

Net present valuenbspriggs corp management is planning to

Net present value: Riggs Corp. management is planning to spend $650,000 on a new- marketing campaign. They believe that this action will result in additional cash flows of $325,000 over the next three years. If the disc ...

A researcher wants to determine if there is an association

A researcher wants to determine if there is an association between religious affiliation (e.g., Christian, Muslim, Jewish. Buddhist, Unaffiliated, etc.) and ethnicity (African American, Asian, American Indian, Whte, Othe ...

An automobile accidents occur over a 72 hour holiday period

An automobile accidents occur over a 72 hour holiday period are like events in a poisson process with = 10 per hour. Let Y be the time for the first accident. a) What is the mean of Y and variance of Y? b) Find P(Y > 15 ...

A researcher reports that the size of an effect in

A researcher reports that the size of an effect in Population A is d = 0.10 and the effect size in Population B is d = 0.34. Which population is associated with greater power to detect an effect? A) Population A B) Popul ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert