Existence of the Category DTC₂(K) Equivalent to the Given Category KAC₂

• Published in: Український математичний журнал
• Date: 2015
• Main Author: Han, S.-E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166474
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Existence of the Category DTC₂(K) Equivalent to the Given Category KAC₂ / S.-E. Han // Український математичний журнал. — 2015. — Т. 67, № 8. — С. 1122–1133. — Бібліогр.: 10 назв. — англ.

For a given category KAC₂, the present paper deals with an existence problem of the category DTC₂(k) which is equivalent to KAC₂, where DTC₂(k) is the category whose objects are simple closed k-curves with even number l of elements in Zⁿ, l ≠ 6 and morphisms are (digitally) k-continuous maps, and...