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A pointed space with multiplication and unit laws holding up to homotopy.
wp-h-spacenlab-h-spacehatcher-algebraic-topologyEach relation below ends 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.
A topological monoid determines an -space after retaining only the multiplication and basepoint.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-topological-semigroupnlab-topological-monoidwp-h-spacenlab-h-spacehatcher-algebraic-topologyEach relation below starts at this concept.
No direct relations are authored in this direction.