无Edwards-Walsh CW-复形的Edwards-Walsh归结定理的证明
A proof of The Edwards-Walsh Resolution Theorem without Edwards-Walsh CW-complexes
摘要：
在题为“Bockstein basis and resolution theories in extension theory”（arXiv：0907.0491v2）的论文中，我们陈述了一个定理，我们声称它是爱德华-沃尔什归结定理的推广。本文的目的是证明（arXiv：0907.0491v2）中的主要定理实际上等价于爱德华-沃尔什分解定理，并且它可以在不使用爱德华-沃尔什复形的情况下得到证明。我们的结论是爱德华-沃尔什分解定理可以证明，而不使用爱德华-沃尔什复合。
英文摘要：
In the paper titled "Bockstein basis and resolution theorems in extension theory" (arXiv:0907.0491v2), we stated a theorem that we claimed to be a generalization of the Edwards-Walsh resolution theorem. The goal of this note is to show that the main theorem from (arXiv:0907.0491v2) is in fact equivalent to the Edwards-Walsh resolution theorem, and also that it can be proven without using Edwards-Walsh complexes. We conclude that the Edwards-Walsh resolution theorem can be proven without using Edwards-Walsh complexes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
