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Пишет chervov (![[info]](http://lj.rossia.org/img/userinfo.gif){kind=small} chervov) в ![[info]](http://lj.rossia.org/img/community.gif){kind=small} ljr_math@ 2006-08-21 18:47:00 |
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Vopros pro gomotipii
Tut u moego druga fizika voznik vopros:
> Dano gladkoe lokal,no trivial'noe rassloenie nad sferoi
> p: M \to S^n.
> Sloi odnosvyaznii.
> Dani dva secheniya etogo rassloeniya
> s_0, s_1: S^n \to M, p \cdot s_i = id. ( i = 0,1 )
> Izvesto, chto secheniya homotopni
> KAK OTOBRAZHENIYA, t.e. suschestvuet homotopiya
> h: [0,1] \times S^n \to M, h(0,x)=s_0(x), h(1,x)= s_1(x), gde x \in S^n.
> Vopros: homotopni li eti secheniya KAK SECHENIYA?
> T.e., ih mozhno soedinit' v prostranstve sechenii.
> V zapisi eto oznachaet:
> suschestvuet li homotopiya
> g: [0,1] \times S^n \to M, g(0,x)=s_0(x), g(1,x)= s_1(x), dlya kotoroi
> p \cdot g(t,x) = x ?
Mne kazetsya chto da, Gosha Sharygin schitaet chto net :)
Chto dumaet narod ?
Tut u moego druga fizika voznik vopros:
> Dano gladkoe lokal,no trivial'noe rassloenie nad sferoi
> p: M \to S^n.
> Sloi odnosvyaznii.
> Dani dva secheniya etogo rassloeniya
> s_0, s_1: S^n \to M, p \cdot s_i = id. ( i = 0,1 )
> Izvesto, chto secheniya homotopni
> KAK OTOBRAZHENIYA, t.e. suschestvuet homotopiya
> h: [0,1] \times S^n \to M, h(0,x)=s_0(x), h(1,x)= s_1(x), gde x \in S^n.
> Vopros: homotopni li eti secheniya KAK SECHENIYA?
> T.e., ih mozhno soedinit' v prostranstve sechenii.
> V zapisi eto oznachaet:
> suschestvuet li homotopiya
> g: [0,1] \times S^n \to M, g(0,x)=s_0(x), g(1,x)= s_1(x), dlya kotoroi
> p \cdot g(t,x) = x ?
Mne kazetsya chto da, Gosha Sharygin schitaet chto net :)
Chto dumaet narod ?
