Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

(n, m)-category

In mathematics, specifically in category theory, an (n, m)-category is an n-category all of whose j-morphisms for j > m {\displaystyle j>m} are invertible. This notion has orthographic variation, such as (m, k)-category, (m, r)-category and etc. An (n, m)-category is considered a generalization of n-category and n-groupoid, and further (skeletal in poset…

Example, Definition of (n, m)-category & Overview

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around (n, m)-category. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Example

SetGroupoid∞-groupoidOrdinary category2-category
10 related topics

Definition of (n, m)-category

WeakN-categoryParallel
3 related topics

Overview

Category theorySegal categorySegal space
3 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition of (n, m)-category

Example

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

(n, m)-category

Nodes20
Edges19
Triples3
Avg. degree1.9
Density0.1
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

(n, m)-category

Top relations

related to Definition of (n, m)-category given by ∞-category · 2
(n, m)-category → An, The
related to Definition of (n, m)-category given by (weak) n-category · 1
(n, m)-category → An

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

-category category n-category displaystyle invertible arxiv theory doi -categories models j-morphisms 10 nlab categories mathematics poset definition example equivalence math

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
(n, m)-categoryrelated to Definition of (n, m)-category given by (weak) n-categoryAn0.60section
(n, m)-categoryrelated to Definition of (n, m)-category given by ∞-categoryAn0.60section
(n, m)-categoryrelated to Definition of (n, m)-category given by ∞-categoryThe0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.