Divisible Property

A property that passes from a topological space to all its quotient spaces. This is true for connectedness, local connectedness and separability, but not for any of the separation axioms, nor for metrizability. Being a discrete space, however, is a divisible property.

See also

Hereditary Property, Productive Property

This entry contributed by Margherita Barile

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Joshi, K. D. Introduction to General Topology. New Delhi, India: Wiley, p. 128, 1983.Kelley, J. L. General Topology. New York: Van Nostrand, p. 133, 1955.

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Divisible Property

Cite this as:

Barile, Margherita. "Divisible Property." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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