看起来像$[0,\infty)$的空间的Čech-Stone模型
Čech-Stone remainders of spaces that look like $[0,\infty)$
摘要：
我们证明了许多看起来像半线~ $\halfline=[0,\infty)$的空间在~ $\CH$下有一个与~ $\Hstar$同胚的Čech-Stone-剩余。我们还证明了$\CH$等价于~ $\Hstar$的所有标准子连续统是同胚的。证明使用模型理论的工具，如约化积和初等等价，而不是构造同胚，我们表明，在问题的空间有同构的封闭集的基础。
英文摘要：
We show that many spaces that look like the half~line~$\halfline=[0,\infty)$ have, under~$\CH$, a Čech-Stone-remainder that is homeomorphic to~$\Hstar$. We also show that $\CH$ is equivalent to the statement that all standard subcontinua of~$\Hstar$ are homeomorphic. The proofs use Model-theoretic tools like reduced products and elementary equivalence; rather than constructing homeomorphisms we show that the spaces in question have isomorphic bases for the closed sets.
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