continuum

A continuum is a compact connected topological space. Some authors impose additional conditions and require that the space be nondegenerate, Hausdorff, or metric.

References

SS Lynn Arthur Steen and J. Arthur Seebach, Jr, Counterexamples in Topology, Springer-Verlag, 1978, p. 33
HY John G. Hocking, and Gail S. Young, Topology, Dover Publications, New York, 1988, p. 43
G Steven A. Gaal, Point Set Topology, Academic Press, New York, 1964, p. 103
MCG Michael C. Gemignani, Elementary Topology, 2nd ed. Dover Publications, New York, 1990, p. 202
NEW M.H.A. Newman, Elements of the Topology of Plane Sets of Points, Cambridge University Press, 1964, p. 71
W Stephen Willard, General Topology, Addison-Wesley, Reading, MA, 1970, p. 203
WI Raymond Louis Wilder, Topology of Manifolds, Amer. Math. Society, Providence, RI, 1963, p. 36
MI J. van Mill, G.M. Reed, editors, Open Problems in Topology, North-Holland, Amsterdam, 1990, p. 305