Let X = {a, b, c, d, e, f, g} and B = {{a,c, e, f}, {b, c, d, f,g}, {c}, {f}}. Show that B is a base for a topology on X and find that topology.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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is open in one topology and not in the other.
Let X = {a, b, c, d, e, f, g} and B = {{a, c, e, f}, {b,c, d, f, g}, {c}, {f}}.
Show that B is a base for a topology on X and find that topology.
%3D
Transcribed Image Text:is open in one topology and not in the other. Let X = {a, b, c, d, e, f, g} and B = {{a, c, e, f}, {b,c, d, f, g}, {c}, {f}}. Show that B is a base for a topology on X and find that topology. %3D
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