# Definition:Topology (Mathematical Branch)

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## 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**).

## Also see

- Results about
**topology**can be found here.

## Historical Note

The word **topology** was coined by Johann Benedict Listing in a letter of $1836$.

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

## Sources

- 1975: Bert Mendelson:
*Introduction to Topology*(3rd ed.) ... (next): Chapter $1$: Theory of Sets: $\S 1$: Introduction