Supplemented spaces of the functions on the Peano continua

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...

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Datum:1992
Hauptverfasser: Bazilevich , L. E., Базилевич , Л. Є.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8164
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.