TC0 - Revision history

24.128.119.191 at 15:36, 17 September 2014

2014-09-17T15:36:52Z

← Older revision		Revision as of 17:36, 17 September 2014
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	In the ~~[[mathematics\|mathematical]] subject of [[topology]], an '''ambient isotopy''', also called an ''h-isotopy'',~~ is a kind of continuous distortion of an "ambient space", a [[manifold]], taking a [[submanifold]] to another submanifold. For example in [[knot theory]], one considers two [[knot (mathematics)\|knot]]s the same if one can distort one knot into the other without breaking it. ~~Such a distortion~~ is ~~an example of an ambient isotopy~~. ~~More precisely, let ''N'' and ''M'' be manifolds and ''g'' and ''h'' be [[embedding]]s of ''N'~~' in ~~''M''~~. ~~A [[continuous map]]~~		Hi there. My title is Garland although it is not the title on my beginning certificate. Climbing is what love doing. Interviewing is how he supports his family members but his marketing never arrives. I've usually loved living in Idaho.<br><br>My page [http://Www.mystic-balls.com/UserProfile/tabid/43/userId/102653/Default.aspx car warranty]
	~~:<math>F:M \times [0,1] \rightarrow M </math>~~
	~~is defined to be an ambient isotopy taking ''g'' to ''h'' if ''F~~<~~sub~~>0<~~/sub~~>~~'' is the~~ [~~[identity function\|identity map]], each map ''F<sub>t<~~/~~sub>'' is a [[homeomorphism]] from ''M'' to itself, and ''F<sub>1<~~/~~sub>'' ∘ ''g'' = ''h''~~. ~~This implies that the [[orientation (geometry)\|orientation]] must be preserved by ambient isotopies~~. ~~For example, two knots which are [[mirror image]]s of each other are in general not equivalent~~.

	~~==See also==~~
	*[[Regular homotopy]]
	*[[Regular isotopy]]

	~~== References ==~~
	*Armstrong, ''Basic Topology'', Springer-Verlag, 1983

	~~[[Category:Topology~~]]
	~~[[Category:Maps of manifolds]]~~
	~~{{topology-stub}}~~

en>EmilJ: fix botched reference

2014-02-03T19:46:26Z

fix botched reference

← Older revision		Revision as of 21:46, 3 February 2014
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	~~Golda~~ is ~~what's created on my beginning certificate~~ [~~http://www~~.~~chk.woobi.co.kr/xe/?document_srl=346069 tarot readings~~] ~~even though~~ it is ~~not the title on my beginning certification~~. ~~What me~~ and ~~my family members love is to climb but I~~'~~m thinking on starting some thing new. For years he~~'s ~~been living~~ in ~~Mississippi and he doesn~~'~~t strategy on altering it~~. ~~My working day job is a~~ ~~free online tarot card readings (~~[~~http~~://~~www.octionx.sinfauganda.co.ug/node/22469 www.octionx.sinfauganda.co.ug~~]~~) travel agent.~~<br><br>~~Also visit my page :: best psychics (~~[~~http:~~/~~/203~~.~~250~~.78.~~160/zbxe/?document_srl~~=~~1792908 Highly recommended Online site~~])		In the [[mathematics\|mathematical]] subject of [[topology]], an '''ambient isotopy''', also called an ''h-isotopy'', is a kind of continuous distortion of an "ambient space", a [[manifold]], taking a [[submanifold]] to another submanifold. For example in [[knot theory]], one considers two [[knot (mathematics)\|knot]]s the same if one can distort one knot into the other without breaking it. Such a distortion is an example of an ambient isotopy. More precisely, let ''N'' and ''M'' be manifolds and ''g'' and ''h'' be [[embedding]]s of ''N'' in ''M''. A [[continuous map]]
			:<math>F:M \times [0,1] \rightarrow M </math>
			is defined to be an ambient isotopy taking ''g'' to ''h'' if ''F<sub>0</sub>'' is the [[identity function\|identity map]], each map ''F<sub>t</sub>'' is a [[homeomorphism]] from ''M'' to itself, and ''F<sub>1</sub>'' ∘ ''g'' = ''h''. This implies that the [[orientation (geometry)\|orientation]] must be preserved by ambient isotopies. For example, two knots which are [[mirror image]]s of each other are in general not equivalent.

			==See also==
			*[[Regular homotopy]]
			*[[Regular isotopy]]

			== References ==
			*Armstrong, ''Basic Topology'', Springer-Verlag, 1983

			[[Category:Topology]]
			[[Category:Maps of manifolds]]
			{{topology-stub}}

193.52.24.28: Dyck language

2012-03-16T23:20:36Z

Dyck language

New page

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