This note is an elaboration of the ideas and intuitions of Grothendieck and Weil concerning the “arithmetic topology”. Given 3-dimensional manifold M fibering over the circle we introduce an algebraic number field K = Q( √ d), where d > 0 is an integer number (discriminant) uniquely determined by M . The idea is to relate geometry of M to the arithmetic of field K. On this way, we show that V o...

The 2020 coronavirus infection COVID-19 (SARS-CoV-2) pandemic continued with renewed strength in 2021-2022, and the seasonal wave dynamics of spread disease regions world were pronounced. issues studying demographic response populations different countries to infectious threats remain relevant. study is based on methodology stratifying (fibering) diversity (manifold) relations population reacti...