<oembed><type>rich</type><version>1.0</version><title>allen wrote</title><author_name>allen (npub1sf…2ymqt)</author_name><author_url>https://yabu.me/npub1sfhflz2msx45rfzjyf5tyj0x35pv4qtq3hh4v2jf8nhrtl79cavsl2ymqt</author_url><provider_name>njump</provider_name><provider_url>https://yabu.me</provider_url><html>heine borel and anything relying on compactness fails.&#xA;&#xA;weirdest/coolest result is IVT fails too, which is bizarre because on R continuity is strictly stronger than IVP, but in dense-but-not-complete R that flips.</html></oembed>