Oleksiv I. Ya.

Articles: 2

Article (Ukrainian)

Characterization of locally connected continua in Euclidean spaces

Oleksiv I. Ya.

↓ Abstract | Full text (.pdf)

Ukr. Mat. Zh. - 1995. - 47, № 8. - pp. 1080–1088

We prove that, for any locally connected bounded continuum in the Euclidean space Eⁿ,n≥2, there exists a sequence of imbeddings of the segment [0, 1] into Eⁿ uniformly convergent to a continuous mapping of [0, 1] onto this continuum.

Article (Ukrainian)

On the convergence of branching continued fractions with nonnegative terms

Bodnar D. I., Oleksiv I. Ya.

Full text (.pdf)

Ukr. Mat. Zh. - 1976. - 28, № 3. - pp. 373–377