Research any topic before you write.

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

Smith conjecture: Overview, Related Topics & Entities

In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial knot.

Language: English [EN]
Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.
100%
More settings
100% 100% 100% 100% 100%

Smith conjecture topic overview

The analysis highlights Overview, Related Topics and Entities as prominent areas in the source structure around Smith conjecture.

Related topics
22
Source areas
1
Connected nodes
23
Extracted relationships
44
Concept neighborhoods
14
Bridge connections
23

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 22 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

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.

How Smith conjecture connects Entity context

The extracted context around Smith conjecture shows recurring relationship patterns in the source. For example, Smith conjecture → Academic Press, American Journal, American Mathematical Society, Annals, Applied Mathematics, Bass, Bibcode, Boston, Charles, Deane, Eilenberg, Examples, Friedhelm, Hyman, II, Involutionen, ISBN, ISSN, John, JSTOR Another extracted example is Smith conjecture → Hilbert, Smith. Use these groups to spot repeated connection types before inspecting the individual relationships.

Smith conjecture

Top relations

related to References · 42
Smith conjecture → Academic Press, American Journal, American Mathematical Society, Annals, Applied Mathematics, Bass, Bibcode, Boston, Charles, Deane, Eilenberg, Examples, Friedhelm, Hyman, II, Involutionen, ISBN, ISSN, John, JSTOR
see also · 2
Smith conjecture → Hilbert, Smith

Important terminology

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

Important terminology

smith conjecture fixed point set diffeomorphism mathematics order mr finite 3-sphere showed circle knotted case false doi issn jstor 1939

Smith conjecture relationships Subject–Predicate–Object triples

TTTA extracted 44 structured relationships around Smith conjecture. Examples in this analysis include Smith conjecture → related to References → Lock-green and Smith conjecture → related to References → Lock-gray-alt-2. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Smith conjecturerelated to ReferencesLock-green0.60section
Smith conjecturerelated to ReferencesLock-gray-alt-20.60section
Smith conjecturerelated to ReferencesLock-red-alt-20.60section
Smith conjecturerelated to ReferencesWikisource-logo0.60section
Smith conjecturerelated to ReferencesEilenberg0.60section
Smith conjecturerelated to ReferencesSamuel0.60section
Smith conjecturerelated to ReferencesOn0.60section
Smith conjecturerelated to ReferencesProblems0.60section
Smith conjecturerelated to ReferencesTopology0.60section
Smith conjecturerelated to ReferencesAnnals0.60section
Smith conjecturerelated to ReferencesMathematics0.60section
Smith conjecturerelated to ReferencesSecond Series0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Smith conjecture bring nearby vocabulary together. In this analysis, examples include Smith, Fixed and Point. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Smith conjecture
    • Smith
    • Fixed
    • Point
    • Set
    • 3-sphere
    • Diffeomorphism
    • Mathematics
    • Order
    • False
    • Zippin
    • Mr
    • Friedhelmwaldhausen
  • smith conjecture
    • Smith
    • Fixed
    • Point
    • Set
    • 3-sphere
    • False
    • Zippin
    • Diffeomorphism
    • Mathematics
    • Order
    • Mr
    • Friedhelmwaldhausen
  • mathematics
    • 0003-486x
    • Annals
    • Doi
    • Issn
    • Jstor
    • Second
    • Series
    • Topology
    • Mr
    • Conjecture
    • Knot
    • 3-sphere
  • leo zippin
    • Conjecture
    • 0003-486x
    • 3-sphere
    • Annals
    • Bass
    • Circle
    • Doi
    • Eilenberg
    • False
    • Issn
    • Jstor
    • Second
  • paul a.smith
    • Orientation-preserving
    • Circle
    • Eilenberg
    • Knotted
    • Showed
    • False
    • Smith
    • Zippin
    • Mr
    • Point
    • Set
    • 0003-486x
  • diffeomorphism
    • Fixed
    • Point
    • Set
    • Knotted
    • Showed
    • Finite
    • Order
    • Smith
    • Knot
    • Orientation-preserving
    • 3-sphere
    • Circle
  • finite order
    • Paul
    • Order
    • Smith
    • Fixed
    • Point
    • Set
    • Friedhelmwaldhausen
    • Knot
    • Orientation-preserving
    • Case
    • Circle
    • Eilenberg
  • hyman bass
    • 3-manifold
    • 0003-486x
    • Annals
    • Case
    • Doi
    • Eilenberg
    • Issn
    • Jstor
    • Second
    • Series
    • Topology
    • Zippin

Connections between topic areas Semantic bridges

Bridges highlight paths between different parts of the Smith conjecture map and can reveal research angles that are easy to miss in a flat list.

Min side: 3

Map overview Semantic statistics

Smith conjecture

Nodes24
Edges23
Triples44
Avg. degree1.92
Density0.083333
Components1

Source & methodology

TTTA analyzes the structure around Smith conjecture to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Overview, Related Topics & Entities, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Smith conjecture · EN edition · Analysis: TopicsToTalkAbout

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