A Simpler Proof for the ϵ-δ Characterization of Baire Class One Functions

• المؤلفون الرئيسيون: Cabral, Emmanuel A, Fenecios, Jonald P
• التنسيق: text
• منشور في: Archīum Ateneo 2015
• الموضوعات: Baire class one function; oscillation of a function; Polish spaces; separable metric spaces; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/62; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1061&context=mathematics-faculty-pubs

We offer a new and simpler proof of a recent ϵ-δ characterization of Baire class one functions using a theorem by Henri Lebesgue. The proof is more elementary in the sense that it does not use the Baire Category Theorem. Furthermore, the proof requires only that the domain and range be separable met...