TY - JOUR
AU - Moskaliuk, S.S.
AU - Moskaliuk, N.M.
PY - 2012/04/30
Y2 - 2024/10/16
TI - Category of Vilenkin−Kuznetsov−Smorodinsky−Smirnov Trees
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 57
IS - 4
SE - General problems of theoretical physics
DO - 10.15407/ujpe57.4.426
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021293
SP - 426
AB - <p>First, we briefly review the definitions and the basic properties of operads and trees. There are many useful types of operads, and each type is determined by the choice of two categories: basic symmetric monoidal category (<em>C</em>, □), which supports the classical linear operads, and a category of graphs Γ reflecting the combinatorics of operadic data and axioms. From this viewpoint, the specific operad is a functor Γ → <em>C</em>. Second, our aim is the construction of the category of Vilenkin–Kuznetsov–Smorodinsky–Smirnov (VKSS) trees, which contains VKSS-trees as objects and morphisms generated by a rotation of the <em>n</em>-dimensional space and transforming functions of VKSS-trees.</p>
ER -