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

Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the part of mathematics concerned with the properties of a geometric object...

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

of topological spaces in their own right is called point-set topology or general topology. Around 1735, Leonhard Euler discovered the formula V−E+F=2{\displaystyle...

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

In mathematics, specifically in topology, the interior of a subset S of a topological space X is the union of all subsets of S that are open in X. A point...

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

In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed...

from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology[citation needed]). Given a topological...

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