On monomorphic topological functors with finite supports

Autor: Banakh T. O., Martynenko M. V., Zarichnyi M. M.

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 4, Iss 1, Pp 4-11 (2012)

We prove that a monomorphic functor $F:CompoComp$ with finite supports isepimorphic, continuous,and its maximal $emptyset$-modification $F^circ$ preserves intersections. Thisimplies that a monomorphic functor $F:CompoComp$ of finite degree $deg Flen$

Externí odkaz: https://doaj.org/article/7a00fa389f2148508c64201e7b2277f1

On convex bodies of constant width

Autor: Bazylevych, L. E., Zarichnyi, M. M.

We present an alternative proof of the following fact: the hyperspace of compact closed subsets of constant width in $\mathbb R^n$ is a contractible Hilbert cube manifold. The proof also works for certain subspaces of compact convex sets of constant

Externí odkaz: http://arxiv.org/abs/math/0401060

On ∗-measure monads on the category of ultrametric spaces.

Autor: Sukhorukova, Kh. O., Zarichnyi, M. M.

Publikováno v: Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï; 2022, Vol. 14 Issue 2, p429-436, 8p

On monomorphic topological functors with finite supports

Autor: Banakh, T. O., Martynenko, M. V., Zarichnyi, M. M.

Publikováno v: Carpathian Mathematical Publications; Vol 4, No 1 (2012); 4-11
Карпатские математические публикации; Vol 4, No 1 (2012); 4-11
Карпатські математичні публікації; Vol 4, No 1 (2012); 4-11

We prove that a monomorphic functor $F:\mathbf{Comp}\to\mathbf{Comp}$ with finite supports isepimorphic, continuous, and its maximal $\emptyset$-modification $F^\circ$ preserves intersections. This implies that a monomorphic functor $F:\mathbf{Comp}\

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=vasylstefany::bd168cc1c7f6988810f501b5baf59bcb
http://journals.pu.if.ua/index.php/cmp/article/view/69

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