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