数学又有不懂的！2题！

mitmydreamUID: 2113494

1）suppose that f(1+x)=f(x) for all real x.if f is a polynomial and f(5)=11,
    then f(15/2)is
    the answer is 11.why?
2) let S be a compact topological space. let T be a topological space,and let
   f be a function from S onto T.on the following conditions of f,which is the
   weakest condition sufficient to ensure the compactness of T
   a) f is homeomorphism
   b)f is continuous an 1-1
   c)f is continuous
   d)f is 1-1
   e)f is bounded
   the answer is c. then d)and e)是不是不可以得出T compactness 的结论？

mitmydreamUID: 2113494

没有人回答吗？
自己顶！

speedofsoundUID: 2129987

非常值多项式不可能是周期函数，所以只能是常数

mitmydreamUID: 2113494

恩，懂了，谢谢！

wjk302UID: 183696

紧空间的连续象是紧的，d和e得不出来T是compact的，

mitmydreamUID: 2113494

恩，和我的想法一样！bow