同伦等价Ⅰ

Homotopy Equivalence I

证明主要定理是: 定理1 K1,K2是En中一维连通无闭道复形,则K1与K2同伦等价; 定理2 K1是En的一维连通无闭道复形,K2是En的一维连通有闭道复形,则K1与K2不同伦等价; 定理4 K1是En一维连通有m个无关闭道复形,K2是En一维连通有n个无关闭道复形,m≠n,则K1与K2不同伦等价.

The main theories presented in this paper are: Theory 1: If K1, K2 are with no one-dimensional connect in En colsed-path complexes simple then, K1, K2 are homotopy equivalence. Theory 2; If K1 is one dimensional connect with no closed path complex simple, K2 is one dimensional connect with a closed path complex simple, then K1, K2 are not homotopy equivalence. Theory 4; if K1 is one dimensional connect with no independence closed path complex simple, and K2 is one dimensional connect with no independence closed path complex simple, and m≠n, then K1 ,K2 are not Homotopy equivalence.