Functions of the first Baire class with values in metrizable spaces

• Дата: 2006
• Автори: Karlova, O. O., Mykhailyuk, V. V., Карлова, О. О., Михайлюк, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3475
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We show that every mapping of the first functional Lebesgue class that acts from a topological space into a separable metrizable space that is linearly connected and locally linearly connected belongs to the first Baire class. We prove that the uniform limit of functions of the first Baire class $f_...