Prove that t1 is strictly finer than t2

Reference no: EM13868114

Let X be an infinite set with the finite complement topology. Let T1 denote the product to topology on X*X and let T2 dent the finite complement topology on X*X. Prove that T1 is strictly finer than T2. Consider the subset of R2, X= ( {0} x [0,1] U [0,1] x {0} ). Show the dictionary order topology on X and the subspace topology on X are not comparable by finding a set that are in one but the other and vice versa.

Reference no: EM13868114

Questions Cloud

Differences between chiral : Explain the differences between chiral, zig-zag and armchair carbon nanotubes. How may these structures be described mathematically? What are the predicted electronic properties of (10, 0), (21, -3) and (8, 8) SWNTs?

Ethics in information gathering : What is the difference between conducting research in the field of psychology and the informational interview

Prepare a personal financial plan : Prepare a personal financial plan on the following case based on the mentioned parameters:

Debt to assets ratio is increased or decreased : For each listed transaction and related adjusting entry, indicate the accounts, amounts, and effects (+ for increase, for decrease, and NE for no effect) on the accounting equation, using the following format: For each item, state whether the debt-to..

Prove that t1 is strictly finer than t2 : Let X be an infinite set with the finite complement topology. Let T1 denote the product to topology on X*X and let T2 dent the finite complement topology on X*X. Prove that T1 is strictly finer than T2.

Describe the basis for a step response : Q1: A first order system was assessed using a step response method and was found to have a time constant of 1.5s. a) Describe the basis for a step response

Write an essay related to nursing : I need this essay to be own words and thoughts. The is no need for a title page, abstract, or reference page

Write a thematic paper that traces one of the biblical theme : write a thematic paper that traces one of the biblical themes

Information to find r 62g(x) d : 3.Suppose thet g . odd, f°,g(x)d.3 = 2, wed g(3). = Either find f: g(g)dx, or show there is not enough informotion to .a g(3.1.3.Suppose that g is odd, R 4−2g(x) dx = 2, and R −4−6g(x) dx = 3. Either find R 62g(x) dx, or show there is notenough infor..

User Account

All Pages