We define the included point topology by Tp={ UcR;U=Ø or pEU). Let A = -[3,5[, then A is dense in Rif * O None of the choices O Ris equipped with Tp and p =3 R is equipped with the usual topology R is equipped with Tp and p = 5 tY (1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 4AEXP
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A subspace of a discrete space is an indiscrete space
We define the included point topology by Tp={ UcR;U=Ø or p€U). Let A - [3,5[,
then A is dense in Rif *
None of the choices
R is equipped with Tp and p =3
Ris equipped with the usual topology
R is equipped with Tp and p = 5
Let X = (a. b, c, d) and TX = (0. X, (b). (b.c). (a,b,d}} be a topology on X. Let Y = (1.
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Transcribed Image Text:A subspace of a discrete space is an indiscrete space We define the included point topology by Tp={ UcR;U=Ø or p€U). Let A - [3,5[, then A is dense in Rif * None of the choices R is equipped with Tp and p =3 Ris equipped with the usual topology R is equipped with Tp and p = 5 Let X = (a. b, c, d) and TX = (0. X, (b). (b.c). (a,b,d}} be a topology on X. Let Y = (1. earch TOSHIBA
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