https://topospaces.subwiki.org/w/index.php?action=history&feed=atom&title=Connected_normal_space 2026-09-29T05:15:10Z Revision history for this page on the wiki MediaWiki 1.41.2 https://topospaces.subwiki.org/w/index.php?title=Connected_normal_space&diff=435&oldid=prev 2008-05-11T19:42:07Z

<p>1 revision</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:42, 11 May 2008</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Vipul https://topospaces.subwiki.org/w/index.php?title=Connected_normal_space&diff=434&oldid=prev 2007-12-15T22:04:17Z

<p></p> <p><b>New page</b></p><div>{{topospace property conjunction|connectedness|normality}}<br /> <br /> {{variationof|normality}}<br /> <br /> {{variationof|connectedness}}<br /> <br /> ==Definition==<br /> <br /> A &#039;&#039;&#039;connected normal space&#039;&#039;&#039; is a [[topological space]] which is both [[connected space|connected]] and [[normal space|normal]].<br /> <br /> ==Facts==<br /> <br /> * Any connected normal space with at least two points has cardinality at least that of the continuum. This follows by considering an Uryoshn function that separates the two points, and observing that connectedness forces the Urysohn function to be surjective. {{proofat|[[Connected Urysohn implies uncountable]]}}</div>

Vipul