0708-1300/Class notes for Tuesday, January 29 - Revision history

Canghel: /* Class Notes */

2008-02-06T05:23:53Z

Class Notes

← Older revision		Revision as of 01:23, 6 February 2008
Line 24:		Line 24:
	==Class Notes==		==Class Notes==
	<span style="color: red;">The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.</span>		<span style="color: red;">The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.</span>

			[[Image:0708-1300_notes_29-01-08a.jpg\|200px]]
			[[Image:0708-1300_notes_29-01-08b.jpg\|200px]]
			[[Image:0708-1300_notes_29-01-08c.jpg\|200px]]
			[[Image:0708-1300_notes_29-01-08d.jpg\|200px]]

Canghel: /* 14 Covering Spaces */

2008-02-06T05:22:28Z

14 Covering Spaces

← Older revision		Revision as of 01:22, 6 February 2008
Line 21:		Line 21:

	14 further covering spaces can be found on [http://www.math.cornell.edu/~hatcher/AT/ATch1.pdf#page=38 page 58 of Hatcher's book].		14 further covering spaces can be found on [http://www.math.cornell.edu/~hatcher/AT/ATch1.pdf#page=38 page 58 of Hatcher's book].

			==Class Notes==
			<span style="color: red;">The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.</span>

Drorbn at 21:56, 28 January 2008

2008-01-28T21:56:11Z

New page

{{0708-1300/Navigation}}
==Two Covering Spaces==
{| align=center cellspacing=20
|- align=center
| [[Image:0708-1300-DoubleCover.png|300px]]
| [[Image:0708-1300-FigureEightSeifert.jpg|300px]]
|- align=left
| [http://www.wolfram.com/ Mathematica] code:
ParametricPlot3D[
{
{r Cos[2t], r Sin[2t], 4 + Cos[t]},
{r Cos[t], r Sin[t], 0},
PlotPoints -> {49, 2}
},
{t, 0, 2Pi}, {r, 1, 3}
]
| Seifert surface of the Figure Eight Knot, drawn using [http://www.win.tue.nl/~vanwijk/ Jack van Wijk]'s amazing [http://www.win.tue.nl/~vanwijk/seifertview/ SeifertView].
|}

==14 Covering Spaces==

14 further covering spaces can be found on [http://www.math.cornell.edu/~hatcher/AT/ATch1.pdf#page=38 page 58 of Hatcher's book].