Deprecated: Caller from MathObject::readFromCache ignored an error originally raised from MathObject::readFromCache: [1054] Unknown column 'math_mathml' in 'field list' in /var/www/html/includes/debug/MWDebug.php on line 385
Deprecated: Caller from LCStoreDB::get ignored an error originally raised from MathObject::readFromCache: [1054] Unknown column 'math_mathml' in 'field list' in /var/www/html/includes/debug/MWDebug.php on line 385 Quartic plane curve - formulasearchengine
Quartic plane curve
From formulasearchengine
Revision as of 13:15, 15 March 2013 by en>Addbot(Bot: Migrating 2 interwiki links, now provided by Wikidata on d:q1857574)
In mathematics, a solid Klein bottle is a 3-manifold (with boundary) homeomorphic to the quotient space obtained by gluing the top of (cylinder) to the bottom by a reflection, i.e. the point is identified with where is reflection of the disc across a diameter.
Note the boundary of the solid Klein bottle is a Klein bottle.
Alternatively, one can visualize the solid Klein bottle as the trivial product, of the möbius strip and an interval . In this model one can see that
the core central curve at 1/2 has a regular neighborhood which is again a trivial cartesian product: and whose boundary is a Klein bottle as previously noticed