. Show that if S is a subbasis for topologies T1 and T2 on a space X, then T1 = T2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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4. Show that if S is a subbasis for topologies Ti and T2 on a space X, then T1 = T2.
5. Show that the function
f: (-1,1) → R
defined by f(x) = tan () is an homeomorphism.
Transcribed Image Text:4. Show that if S is a subbasis for topologies Ti and T2 on a space X, then T1 = T2. 5. Show that the function f: (-1,1) → R defined by f(x) = tan () is an homeomorphism.
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