Bolzano-Weierstrass property

English

Etymology

Named after Bernard Bolzano (1781–1848), a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian descent, and Karl Weierstrass (1815–1897), a German mathematician often cited as the "father of modern analysis".

Proper noun

the Bolzano-Weierstrass property

1. (topology) The property held by some topological spaces that if a subset of such a space has an infinite quantity of points then the subset has at least one accumulation point.

References

• Mendelson, Bert (1975) Introduction to Topology, Third edition, New York: Dover Publications, Inc., published 1990, →ISBN, →OCLC, §5.5, page 175