Timeline for Are Banach Manifolds intrinsically interesting?
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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Mar 12, 2012 at 1:29 | comment | added | Allen Knutson | Got it. $\ \ \ $ | |
Mar 11, 2012 at 16:53 | comment | added | Liviu Nicolaescu | In the real case the multiplicity is zero. To see this look at the equation $x^2-\varepsilon=0$. For $\varepsilon>0$ it has two solutions, one counter with multiplicity $1$ and the other with multiplicity $-1$ and thus the intersection number of the graph of $x^2-\varepsilon$ with the $x$-axis is zero. If $\varepsilon <0$, then the equation has no solution, and the above intersection number is also zero. | |
Mar 11, 2012 at 14:23 | comment | added | Allen Knutson | Multiplicity 0? Not 2? | |
Mar 9, 2012 at 14:33 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |