The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force field of metrizable Newtonian dynamical system¨r = F(r, ˙ r) is found.

For compact Hausdorff admissible right topological (CHART) group G, we prove w(G)=πχ(G). This equality is well known for groups. implies the criteria metrizability of CHART groups: if G first-countable (2013, Moors, Namioka) or Fréchet Glasner, Megrelishvili), has countable π-character (2022, Reznichenko) then metrizable. Under continuum hypothesis (CH) assumption, a sequentially Namioka's theo...

In this paper‎, ‎we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces‎, ‎and how the character of the remainders affects the character‎ ‎and the size of a rectifiable space‎. ‎Some results in [A. V‎. ‎Arhangel'skii and J‎. ‎Van Mill‎, ‎On topological groups with a first-countable remainder‎, ‎Topology Proc. 42 (2013...

The notion of intuitionistic fuzzy metric space was introduced by Park (2004) and the concept of intuitionistic fuzzy normed space by Saadati and Park (2006). Recently Mursaleen and Lohani introduced the concept of intuitionistic fuzzy 2-metric space (2009) and intuitionistic fuzzy 2-norm space. This paper studies precompactness and metrizability in this new setup of intuitionistic fuzzy 2-metr...