Timeline for H-space structure on infinite projective spaces
Current License: CC BY-SA 2.5
2 events
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| Jan 9, 2010 at 16:59 | comment | added | Allen Hatcher | Baez is talking about a different version of ${\mathbb C}P^\infty$ from the one topologists usually consider. Namely he takes nonzero rational functions with coefficients in ${\mathbb C}$ modulo scalar multiplication. The rational functions form an infinite dimensional vector space over ${\mathbb C}$, but of uncountable dimension since all the functions $1/(z+a)$ are linearly independent as $a$ ranges over ${\mathbb C}$. This gives a fatter version of ${\mathbb C}P^\infty$ that's actually an abelian group. | |
| Jan 9, 2010 at 12:06 | history | answered | K.J. Moi | CC BY-SA 2.5 |