Definition:Topology (Mathematical Branch)

Definition
Topology is a geometry of transformations in which the only invariant is continuity.

Also known as
The original name of this subject was geometria situs, or analysis situs (that is: geometry / analysis of position).

Historical Note
The word topology was coined by in a letter of 1836.

The word was first published in the title of 's 1847 book Vorstudien zur Topologie, but the word never caught on until the 1920's.