set of functions of a given kind from a set X to a set Y; it is called a space because in many applications it is a topological space (including metric spaces), a vector space, or both
function space is a type of exponential object[3].
function space's topic's main category is recorded as Category:Function spaces[4].
function space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/function-spaces[5].
function space's maintained by WikiProject is recorded as WikiProject Mathematics[6].
function space's characteristic of is recorded as function[7].
Body
Definition and Type
Recorded subclass of include space[2] and exponential object[3].
Why It Matters
function space ranks in the top 2% of general entities by monthly Wikipedia readership (572 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[8] It is known by 6 alternative names across languages and contexts.[9]
References
Programmatic citations — every numbered marker resolves to a verifiable graph row below.
Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.
APA4ort.xyz Knowledge Graph. (2026). function space. Retrieved October 1, 2026, from https://4ort.xyz/entity/function-space
BibTeX@misc{4ortxyz_function-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{function space}}, year = {2026}, url = {https://4ort.xyz/entity/function-space}, note = {Accessed: 2026-10-01}}
LLM promptAccording to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): function space — https://4ort.xyz/entity/function-space (retrieved 2026-10-01)
Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.