We define the included point topologyby Tp={ UcR;U=Ø or peU}. Let A = [3,5[,then A is dense in R if *R is equipped with Tp and p = 5Ris equipped with the usual topologyRis equipped with Tp and p =4None of the choices

In order to be dense in R, R has to be equipped in the Tp. Also as in the interval, 5 is not…

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We define the included point topology by Tp={ UcR;U=ø or peU}. Let A = [3,5[, then A is dense in R if *

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 30E: Let be as described in the proof of Theorem. Give a specific example of a positive element of .

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Question

We define the included point topology
by Tp={ UcR;U=Ø or peU}. Let A = [3,5[,
then A is dense in R if *
R is equipped with Tp and p = 5
Ris equipped with the usual topology
Ris equipped with Tp and p =4
None of the choices

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