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From: iles@hplabs.UUCP
Newsgroups: net.physics
Subject: Re: open-closed, bounded-unbounded, fini
Message-ID: <18600005@hplabs.UUCP>
Date: Thu, 10-Jan-85 13:51:00 EST
Article-I.D.: hplabs.18600005
Posted: Thu Jan 10 13:51:00 1985
Date-Received: Wed, 16-Jan-85 05:37:56 EST
References: <19320@lanl.UUCP>
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Nf-ID: #R:lanl:-1932000:hplabs:18600005:000:310
Nf-From: hplabs!iles    Jan 14 10:51:00 1985

A closed set is not necessarily bounded.

Consider the set of integers.  It is clearly closed, also clearly
not bounded.  Also the set of complex numbers (R2) falls into this
category.

Perhaps things are different for connected sets, but this generalization
is not true, at least as far as math is concerned.