Explore: General Topology

In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions

areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric

of topology, including differential topology, geometric topology, and algebraic topology. Another name for general topology is point-set topology. The

mathematics, an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real

study of topological spaces in their own right is called general topology (or point-set topology). Around 1735, Leonhard Euler discovered the formula V

examples in general topology, a field of mathematics. Alexandrov topology Cantor space Co-kappa topology Cocountable topology Cofinite topology Compact-open

that of 𝜏 called the subspace topology (or the relative topology, inherited topology, induced topology, or trace topology). Given a topological space (

In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points in the closure of S not belonging to

In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators,

topology τ of a topological space (X, τ) is a family B {\displaystyle {\mathcal {B}}} of open subsets of X such that every open set of the topology is