{"id":"https://openalex.org/keywords/loop-spaces","display_name":"loop spaces","description":"Loop spaces are spaces of continuous maps from a circle to a topological space, often studied in algebraic topology and geometry.","display_name_alternatives":["loop space"],"ids":{"openalex":"https://openalex.org/keywords/loop-spaces","wikidata":"https://www.wikidata.org/wiki/Q2066070"},"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5763,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.5763,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.073,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"works_count":1992,"cited_by_count":21739,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/loop-spaces","updated_date":"2026-10-21T04:06:17","created_date":"2026-09-30T00:00:00"}