O. Musin

activity

20202026

most citedTopology-Aware Activation Functions in Neural Networks

1 citations · 2 across the 9 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.CO2026

Borsuk-Ulam type theorem for the orthogonal group and orthogonal four-partitions

Oleg R. Musin

Makeev [2] stated that every finite Borel measure in $R^{d}$ assigning zero mass to hyperplanes can be cut by $d$ mutually orthogonal hyperplanes so that every pair divides t…

math.AT2026

Borsuk-Ulam type theorem for Stiefel manifolds and orthogonal mass partitions

Oleg R. Musin

We prove a Borsuk--Ulam-type zero theorem for the Stiefel manifold $V_{n, k}$ with the free action of the hyperoctahedral group $B_{k} = (Z /2)^{k} ⋊ S_{k}$ . The theorem gives…