Supplemented spaces of the functions on the Peano continua

• Date: 1992
• Main Authors: Bazilevich , L. E., Базилевич , Л. Є.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8164
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A description of the topology of the pair $(\tilde {C} (\Pi, I), C (\Pi, I))$ for the Peano continuum $\Pi$, where $\tilde {C} (\Pi, I)$ is the closure in the hyperspace ${\rm ехр} (\Pi \times I)$ of the image of the space of continuous functions $C (\Pi, I)$ under the natural embedding, is obtained...