论文标题
空间的均匀属性$ os_ {f}（x）$
Homotopy properties of the space $OS_{f}(X)$
论文作者
论文摘要
对于给定的紧凑型Hausdorff Space $ X $，我们构造了空间$ os_ {f}（x）$的规范，订单保存，弱添加性，积极的均质和半添加功能（对于简短，半添加功能），并且证明了Space $ \ expace ustrouts的空间，x $的x $是x $ $ $ $ $ $ $ $ $ $ $ x $。此外，我们证明了空间的形状$ os_ {f}（x）$和$ \ exp \，x $重合。我们确定，如果空间$ \ exp \，x $是合约的，则空间$ os_ {f}（x）$也是可签约的。
For a given compact Hausdorff space $X$, we construct the space $OS_{f}(X)$ of normed, order-preserving, weakly additive, positively homogeneous and semi-additive functionals (for brevity, semi-additive functionals) and it is proved that the hyperspace $\exp\, X$ of the space $X$ is a deformation retract of the constructed space. Further we show that the shapes of the spaces $OS_{f}(X)$ and $\exp\, X$ coincide. We establish that if the space $\exp\, X$ is contractible, then the space $OS_{f}(X)$ is also contractible.
