show the interval (a, b) = {x E R|a < x < b}; [a, b) = {x E R|a 2) Show that the interval (2, 4) is open in the upper limit topology on R.[Hint: Express (2, 4) as a union of basis elements for the upper limit topology.

We have to show that the intervel (a,b) is open in upper limit topology in R.To show (a,b) is open…

Answered: 2) Show that the interval (2, 4) is…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

Problem 14EQ

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2) Show that the interval (2, 4) is open in the upper limit topology on R. [Hint: Express (2, 4) as a union of basis elements for the upper limit topology.