图可交换在可测空间和线性空间中的应用

The Application of Diagram Commutes in Measurable Space and Linear Space

本文用范畴论的语言,通过图可交换给出了可测空间中σ(f)可测函数的等价刻画,同时利用图可交换,给出了线性空间中Hahn-Banach泛函延拓定理的等价刻画.

In this article , the paper proposes anequivalent depiction of a（f） measurable function in measurable space by diagram commutes based on considerations from category theory and Hahn-Banach functional topological theory can bealso depicted by consideration from category theory.