论文标题
$ \ MATHCAL {C}（K，E）$ spaces和$ k $的高度的同构
Isomorphisms of $\mathcal{C}(K, E)$ spaces and height of $K$
论文作者
论文摘要
令$ k_1 $，$ k_2 $是紧凑的hausdorff空间和$ e_1，e_2 $ be banach Spaces不包含$ C_0 $的副本。我们建立了较低的估计值$ \ MATHCAL {c}（k_1，e_1）$和$ \ MATHCAL {C}（K_2，e_2）$的banach-Mazur距离$ \ MATHCAL {c}（k_1，e_1）$，基于ordinals $ ht（k_1）$，$ ht（k_2）$，s s speact of scone specy of speact of Spess of Spec of Spess of Spec s of specy of specy of specials of specials。作为推论，我们推断出$ \ MATHCAL {C}（K_1，E_1）$和$ \ MATHCAL {C}（k_2，e_2）$不是同构的，如果$ ht（k_1）$与$ ht（k_2）$有根本不同。
Let $K_1$, $K_2$ be compact Hausdorff spaces and $E_1, E_2$ be Banach spaces not containing a copy of $c_0$. We establish lower estimates of the Banach-Mazur distance between the spaces of continuous functions $\mathcal{C}(K_1, E_1)$ and $\mathcal{C}(K_2, E_2)$ based on the ordinals $ht(K_1)$, $ht(K_2)$, which are new even for the case of spaces of real valued functions on ordinal intervals. As a corollary we deduce that $\mathcal{C}(K_1, E_1)$ and $\mathcal{C}(K_2, E_2)$ are not isomorphic if $ht(K_1)$ is substantially different from $ht(K_2)$.
