度与不动点

Degree and Fixed Point

主要定理是:定理1:存在连续映射f∶s1→s1,有n个不动点p1,p2…pn,映射度d(f)满足1≤d(f)≤n+1(n≥2);定理3:p2n是2n维实射影空间.f∶p2n→p2n.f是连续映射.f在p2n中有不动点.

Main theory: 1:existed continous mapping f∶s^1→s^1 has n fixed point, p_1,p_2...p_n degree d(f) satisfies 1≤d(f)≤n+1, (n≥2); Theory3: p^(2n) is 2n dimension real projective space. f∶p^(2n)→p^(2n), and f is continous mapping, then f has fixed point in p^(2n).