Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: notesfiles - hp internal release 1.2; site hplabs.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!ihnp4!zehntel!hplabs!iles 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> Lines: 8 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.