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But, for my own part, it was Greek to me. -- William Shakespeare, "Julius Caesar"

sci / sci.math.research / Weierstrass by Willard

SubjectAuthor
o Weierstrass by WillardWilliam Elliot

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Subject: Weierstrass by Willard
From: William Elliot
Newsgroups: sci.math.research
Organization: World Wide Maths
Date: Wed, 7 Jun 2017 23:13 UTC
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From: marsh@panix.com (William Elliot)
Newsgroups: sci.math.research
Subject: Weierstrass by Willard
Date: Wed, 07 Jun 2017 17:13:16 -0600
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On page 292 of General Topology by Stephen Willard
just before definining h(x), it's stated that
|g(x) - g_a(x)| <= 2/3 for x in A1 \/ B1.

I don't see how he got that nor do I understand how to use it.
Could he have meant that
|g(x) - f(x)| <= 2/3 for x in A1 \/ B1?

I think I've a proof of that and it appears useful for the ensuing.

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