Continuum (topology)

In the mathematical field of point-set topology, a continuum (plural: 'continua') is a nonempty compact connected metric space, or, less frequently, a compact connected Hausdorff space. Continuum theory is the branch of topology devoted to the study of continua. In the mathematical field of point-set topology, a continuum (plural: 'continua') is a nonempty compact connected metric space, or, less frequently, a compact connected Hausdorff space. Continuum theory is the branch of topology devoted to the study of continua. There are two fundamental techniques for constructing continua, by means of nested intersections and inverse limits.