弱半投射点与AANR紧性
The Point in Weak Semiprojectivity and AANR Compacta
摘要：
本文首次研究了点逼近绝对邻域收缩核。我们的动机是生成C* 代数-代数的例子，表现在意想不到的方式对弱半投射。本文研究了单位C* 代数类的弱半投射性（WSP）和弱半投射性（WSP 1）。对于非单位C* 代数，这些是不同的性质。一个例子表明，一个C* 代数可能不是WSP，而它的单位化是WSP。另一个例子表明WSP 1在直和下不是封闭的。
英文摘要：
We initiate the study of pointed approximative absolute neighborhood retracts. Our motivation is to generate examples of C*-algebras that behave in unexpected ways with respect to weak semiprojectivity. We consider both weak semiprojectivity (WSP) and weak semiprojectivity with respect to the class of unital C*-algebras (WSP1). For a non-unital C*-algebra, these are different properties. One example shows a C*-algebra can fail to be WSP while its unitization is WSP. Another example shows WSP1 is not closed under direct sums.
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