In the mathematical field of point-set topology, a continuum (plural: "continua") is a nonempty compact connected metric space, or, less frequently, a...

properties of the real line Continuum (topology), a nonempty compact connected metric space (sometimes Hausdorff space) Continuum hypothesis, the hypothesis...

properties of the real line Continuum (topology), a nonempty compact connected metric space (sometimes a Hausdorff space) Continuum hypothesis, a conjecture...

general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It...

mathematical field of topology. In fact, we will prove that an ordered set in the order topology is connected if and only if it is a linear continuum. We will prove...

L29-L35; arXiv:gr-qc/0601069; (Continuum limit, Sprinkling) S. Major, D.P. Rideout, S. Surya, On Recovering Continuum Topology from a Causal Set, J.Math.Phys...

function Trivial topology Cofinite topology Finer topology Product topology Restricted product Quotient space Unit interval Continuum (topology) Extended real...

topology. It may also be used to refer to the study of topological spaces of dimension 1, though this is more typically considered part of continuum theory...

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

spurred the development of algebraic and differential topology. For physical reasons, a spacetime continuum is mathematically defined as a four-dimensional...