Also called a 
-space,
a Tychonoff space is a completely regular space (with the additional condition that
it be 
for those authors who do not assume this in the definition of completely regular.)
In any case, Tychonoff spaces can be characterized as the topological
spaces which are homeomorphic to a subspace of some cube (equivalently, which
are subspaces of some compact T2-space, or some T4-space.)
Tychonoff Space
This entry contributed by Margherita Barile
Explore with Wolfram|Alpha
References
Cullen, H. F. Introduction to General Topology. Boston, MA: Heath, 1968.Joshi, K. D. Introduction to General Topology. New Delhi, India: Wiley, 1983.Kelley, J. L. General Topology. New York: Van Nostrand, 1955.Willard, S. General Topology. Reading, MA: Addison-Wesley, 1970.Referenced on Wolfram|Alpha
Tychonoff SpaceCite this as:
Barile, Margherita. "Tychonoff Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TychonoffSpace.html