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A topological space with a distinguished basepoint.
wp-pointed-spacenlab-pointed-spacehatcher-algebraic-topologyEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Use the same carrier set, topology, and distinguished point.
Feed several structures into a construction junction and impose compatibility between them.
wp-pointed-spacenlab-pointed-spacehatcher-algebraic-topologyEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Add continuous multiplication with homotopy unit laws.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-h-spacenlab-h-spacehatcher-algebraic-topologyThis is an authored directed relation from the source endpoint to the target endpoint.
The loop space consists of maps from the pointed circle preserving the basepoint.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
hatcher-algebraic-topology