摘要
本文从构型空间F(A)中的反应途径构造了化学反应途径的空间P^(θ),证明了这样得到的拓扑空间可以成为构型空间F(A)的覆盖空间。最后我们得到结论;在F(A)中的任意两点之间的化学转化机理数是相同的。
A fundamental group π_1(F(A), K_o) can be formed according to the close homotopy reac- tion paths (σ(0)= σ(1)=K_o). Giving a subgroup Θ of π_1 (F (A), K_o) and reaction paths {σ} on F(A), we dsfine the following reaction path set, P^(Θ)= {Θ[σ]Θπ_1(F^- (A), K_o), σ(0) = k_o, σ(1) ∈ F^-(A)} The map p is defined as p (Θ[σ]) = σ(1) It can be proved that the set{C (λ, i)}forms the topology subbasis of P^(Θ), here C (λ, i) satisfies C (λ, i) = {Θ[σ]| P (Θ[σ]) ∈ C (λ, i) is the (λ, i) — thstructure on F^- (A)~[5]} Therefore, the set P^(Θ) is proved to be a topology space which we call as reaction path topology space (RPTS). And what is more important is that (P^(Θ), p) is proved to be a covering space or the topology space F (A). The homotopy reaction mechanism number (HRMN) betweem k_o and k of F^- (A) on the RPTS P^(Θ) is defined as the number of the set {Θ[σ]|σ[0] = k_o}, It can be casily proved that the HRMN is all the same between any two points on F (A), and this number is equaled to the number of the set {Θ α|α∈π_1 (F^- (A),K_o)}
