Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. the function f:(-1,1)tor dfined by f(x)=x/(1-x^2)

the function F:(-1,1)toR dfined by F(x)=x/(1-x^2) is homeomorphism in a topology.. please explain the answer for me

80.2K

Verified Solution

Question

Advance Math

the function F:(-1,1)toR dfined by F(x)=x/(1-x^2) ishomeomorphism in a topology..

please explain the answer for me

Answer & Explanation Solved by verified expert
4.4 Ratings (993 Votes)
Now for surjectivenessSince f1h fc f1 hwhere h tends to zeroAs we know any bijective    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Statistics
1.2K views

There are three types of balls in a box: 5 red, 3 blue and 2 green....

Advance Math
1.2K views

Explain graphically how to determine the shadow price of a binding constraint in an LP with...

Biology
1.2K views

The envelope of a virus is compose of all of the following excepta. Lipidb. Proteinc....

Geometry
1.2K views

In the xy plane the graph of 4x 20x 4y 12y 110 is a circle...

Basic Math
1.2K views

Suppose that you eamed a bachelor s degree and now you re teaching high school...

Calculus
1.2K views

r 8 sin 0 is equivalent to what rectangular equation OA x y 4 OC...

Algebra
1.2K views

Which inequality corresponds to the following graph 16 15 14 13 12 x 14

Algebra
1.2K views

1 16 2 3 2 2 2 Select one O a 1 5 O b...

Accounting
1.2K views

Rita is paid hourly and receives a paycheck every week; meanwhile, Luwam, her supervisor, is...

Accounting
1.2K views

what was the role of the top-level executive in the Enron collapse? Give me some...

Finance
1.2K views

What is the yield to maturity of a zero-coupon bond with a $7000 face value,...

Finance
1.2K views

The Optical Scam Company has forecast a sales growth of 25 percent for next year....