PPO- та PCO-еквівалентності неперервних відображень заданих на S¹ v S¹
Let S¹ = {(x,y) belongs R² : x² + y² = 1} be a circle, S¹ v S¹ = (S¹ II.S¹)/~, x0 ~ y0 a topological space with a fix point and f : S¹ v S¹ → R a continuous function with a finite number oflocal extrema. We will consider two different types of equivalency of such functions and for both of them neces...
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
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Інститут математики НАН України
2009
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/6323 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | PPO- та PCO-еквівалентності неперервних відображень заданих на S¹ v S¹ / І.А. Юрчук // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 460-469. — Бібліогр.: 6 назв. — укр. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Let S¹ = {(x,y) belongs R² : x² + y² = 1} be a circle, S¹ v S¹ = (S¹ II.S¹)/~, x0 ~ y0 a topological space with a fix point and f : S¹ v S¹ → R a continuous function with a finite number oflocal extrema. We will consider two different types of equivalency of such functions and for both of them necessary and sufficient conditions for functions to be equivalent will be obtained.
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| ISSN: | 1815-2910 |