Map
WordNet

### noun

(1)   A diagrammatic representation of the earth's surface (or part of it)
(2)   A function such that for every element of one set there is a unique element of another set

### verb

(3)   To establish a mapping (of mathematical elements or sets)
(4)   Explore or survey for the purpose of making a map
"We haven't even begun to map the many galaxies that we know exist"
(5)   Make a map of; show or establish the features of details of
"Map the surface of Venus"
(6)   Depict as if on a map
"Sorrow was mapped on the mother's face"
(7)   Plan, delineate, or arrange in detail
"Map one's future"
(8)   Locate within a specific region of a chromosome in relation to known DNA or gene sequences
"Map the genes"
WiktionaryText

## English

### Etymology

Latin mappa “napkin, signal cloth”, via Old French mapemonde “map of the world”.

### Noun

1. A visual representation of an area, whether real or imaginary.
2. A function.
The discrete topology is always continuous, therefore functions with discrete domains are always maps.
3. A continuous function.
4. A diagram of components of an item.
5. The butterfly Araschnia levana.

### Verb

1. To create a visual representation of a territory, etc. via cartography.
2. To inform someone of a particular idea.
3. To act as a function on.
The discrete topology is always continuous, therefore functions with discrete domains are always mappings.
4. To act as a continuous function on.
f maps A to B, mapping $a\in A$ to $b\in B$.