topologiya
Topologiya is a branch of mathematics that studies properties of spaces that are preserved under continuous deformations. It abstracts geometric intuition by focusing on generalized notions of nearness and convergence, independent of precise distances. Topologiya provides tools to classify shapes and spaces up to deformation, ignoring details like size or exact form.
A topologiya space consists of a set X together with a topology T, a collection of subsets
Key concepts include connectedness, which means a space cannot be split into two nonempty separated parts;
Subfields include point-set topology (the foundation), algebraic topology, differential topology, and geometric topology. Metric spaces provide