Graph centered on Topological semigroup, showing the selected concept and its surrounding relations.Preparing the interactive atlas…

Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.

Curated starting points

Stories & Views

Relationship-aware analysis

Compare concepts

Choose two concepts to compare or connect.
Reading the graph

Guide to the Atlas

Canonical static concept record

Topological semigroup

Open this concept in the interactive graphRead the Markdown equivalent

Summary

A semigroup whose multiplication is continuous.

Record metadata

Carrier(s)

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

semigroup + topology(construction junction)Topological semigroup

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require the semigroup multiplication S×SSS\times S\to S to be continuous.

How to interpret this relation type

Feed several structures into a construction junction and impose compatibility between them.

Relation sources

Topological monoidTopological semigroup

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Retain the continuous associative multiplication and forget the distinguished unit.

How to interpret this relation type

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.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

No direct relations are authored in this direction.