Том 71
№ 11

All Issues

Bazilevich L. E.

Articles: 1
Article (Ukrainian)

Completions of functional spaces on Peano continua

Bazilevich L. E.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1165–1170

A description of the topology of the pair $(C(ΠxI), C(Π, I))$ for the Peano continuum $Π$, where $C(Π, I)$ is the closure in the hyperspace $\exp (ΠxI)$ of the image of the space of continuous functions $C(Π, I)$ under the natural embedding, is obtained.