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Wikipedia:WikiProject Mathematics/Wikipedia 1.0/Topology

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This page lists articles that have been assigned to the field Topology using the {{maths rating}} template. To include articles on this page, use the following wiki code (in which newlines are optional).

{{maths rating
  |class = quality grading (FA, A, GA, Bplus, B, Start, or Stub)
  |importance = priority level (Top, High, Mid, or Low)
  |field = Topology
}}

Description

This field is for articles which have primarily topological content, including:

general topology, algebraic topology, homotopy theory, some differerential topology and geometric topology.

Some articles in these areas might instead be rated under basics, foundations, or geometry, depending on their content.

Topology article ratings
Priority Quality
Featured article FA A-Class article A Good article GA A-BB+ B Start Stub UA Total
Top 0 3 0 0 8 3 0 0 14
High 0 0 0 0 6 19 2 1 28
Mid 0 0 2 0 24 54 20 1 101
Low 0 0 0 0 7 34 50 1 92
UA 0 0 0 0 0 2 6 2 10
Total 0 3 2 0 45 112 78 5 245
Last updated: Sat Jul 4 01:10:02 UTC 2009

The articles in this field are sorted by importance (or priority) and listed in the tables below. These tables are updated automatically by VeblenBot.

Topology articles by priority
Top-Priority High-Priority Mid-Priority Low-Priority Unassessed priority

Top-Priority

Article Grade Comments
  Four color theorem (talk) A-Class article A
  Knot theory (talk) A-Class article A
  Poincaré conjecture (talk) A-Class article A
  4-manifold (talk) B
  Compact space (talk) B
  Euler characteristic (talk) B
  Fundamental group (talk) B
  Homotopy (talk) B
  Sheaf (mathematics) (talk) B
  Topological space (talk) B
  Topology (talk) B
  Algebraic topology (talk) Start
  General topology (talk) Start
  Homology theory (talk) Start
Last updated: Sat Jul 4 01:10:02 UTC 2009

High-Priority

Article Grade Comments
  Chern class (talk) B
  Covering space (talk) B
  Fiber bundle (talk) B
  Homeomorphism (talk) B
  Topological manifold (talk) B
  Winding number (talk) B
  3-manifold (talk) Start
  Atlas (topology) (talk) Start
  A¹ homotopy theory (talk) Start
  Braid theory (talk) Start
  Brouwer fixed point theorem (talk) Start
  Characteristic class (talk) Start
  Cobordism (talk) Start
  Continuous function (topology) (talk) Start
  Genus (mathematics) (talk) Start
  Geometric topology (talk) Start
  Homology (mathematics) (talk) Start
  Homotopy group (talk) Start
  Low-dimensional topology (talk) Start
  Monodromy (talk) Start
  Neighbourhood (mathematics) (talk) Start
  Open set (talk) Start
  Poincaré duality (talk) Start
  Sheaf cohomology (talk) Start
  Topological group (talk) Start
  Cohomology (talk) Stub
  Stack (descent theory) (talk) Stub
  Singular homology (talk) UNone
Last updated: Sat Jul 4 01:10:02 UTC 2009

Mid-Priority

Article Grade Comments
  Homotopy groups of spheres (talk) A-Good article GA
  Mayer–Vietoris sequence (talk) A-Good article GA
  Boundary (topology) (talk) B
  Brunnian link (talk) B
  CW complex (talk) B
  Chain complex (talk) B
  Connected space (talk) B
  Floer homology (talk) B
  H-cobordism (talk) B
  Hairy ball theorem (talk) B
  Ham sandwich theorem (talk) B
  Hausdorff space (talk) B
  Hopf fibration (talk) B
  Immersion (mathematics) (talk) B
  Klein bottle (talk) B
  Linking number (talk) B
  Locally connected space (talk) B
  Morse theory (talk) B
  Möbius strip (talk) B
  Riemann–Hurwitz formula (talk) B
  Separation axiom (talk) B
  Smale's paradox (talk) B
  Stone–Čech compactification (talk) B
  Surgery theory (talk) B
  Uniform space (talk) B
  Whitney embedding theorem (talk) B
  Abstract simplicial complex (talk) Start
  Adams spectral sequence (talk) Start
  Associated bundle (talk) Start
  Betti number (talk) Start
  Bockstein homomorphism (talk) Start
  Borsuk–Ulam theorem (talk) Start
  Bundle map (talk) Start
  Cap product (talk) Start
  Cartan's theorems A and B (talk) Start
  Classifying space (talk) Start
  Closed set (talk) Start
  Cohomology ring (talk) Start
  Compactification (mathematics) (talk) Start
  Cone (topology) (talk) Start
  Connectedness (talk) Start
  Covering group (talk) Start
  Cup product (talk) Start
  Degree of a continuous mapping (talk) Start
  Discrete space (talk) Start
  Eilenberg-MacLane space (talk) Start
  Finite intersection property (talk) Start
  First-countable space (talk) Start
  Foliation (talk) Start
  Gerbe (talk) Start
  Initial topology (talk) Start
  Interior (topology) (talk) Start
  JSJ decomposition (talk) Start
  Jones polynomial (talk) Start
  Jordan curve theorem (talk) Start
  Knot (mathematics) (talk) Start
  Kolmogorov space (talk) Start
  Kuratowski closure axioms (talk) Start
  Künneth theorem (talk) Start
  Meagre set (talk) Start
  Model category (talk) Start
  Neighbourhood system (talk) Start
  Normal space (talk) Start
  Polish space (talk) Start
  Principal bundle (talk) Start
  Product topology (talk) Start
  Quotient space (talk) Start
  Regular space (talk) Start
  Second-countable space (talk) Start
  Separable space (talk) Start
  Sequential space (talk) Start
  Sheaf spanned by global sections (talk) Start
  Simplicial complex (talk) Start
  Simply connected space (talk) Start
  T1 space (talk) Start
  Topologist's sine curve (talk) Start
  Tychonoff space (talk) Start
  Tychonoff's theorem (talk) Start
  Universal bundle (talk) Start
  Čech cohomology (talk) Start
  Adams operation (talk) Stub
  Axiom of countability (talk) Stub
  Bing metrization theorem (talk) Stub
  Bundle (mathematics) (talk) Stub
  Closed manifold (talk) Stub
  Cofibration (talk) Stub
  Cohomology operation (talk) Stub
  Complex spin structure (talk) Stub
  Constant sheaf (talk) Stub
  Continuous symmetry (talk) Stub
  Contractible space (talk) Stub
  Dehn surgery (talk) Stub
  Dense set (talk) Stub
  Function space (talk) Stub
  Knot invariant (talk) Stub
  Semi-s-cobordism (talk) Stub
  Serre spectral sequence (talk) Stub
  Simplicial category (talk) Stub
  Čech-to-derived functor spectral sequence (talk) Stub
  Σ-compact space (talk) Stub
  Eilenberg–Steenrod axioms (talk) UNone
Last updated: Sat Jul 4 01:10:02 UTC 2009

Low-Priority

Article Grade Comments
  Alexander polynomial (talk) B
  Assembly map (talk) B
  Casson handle (talk) B
  Euler class (talk) B
  Pontryagin class (talk) B
  Whitehead product (talk) B
  Whitehead torsion (talk) B
  Alexander horned sphere (talk) Start
  Alexandrov topology (talk) Start
  Alternating knot (talk) Start
  André Haefliger (talk) Start
  Base (topology) (talk) Start
  Borromean rings (talk) Start
  Box topology (talk) Start
  Category of topological spaces (talk) Start
  Cerf theory (talk) Start
  Characterizations of the category of topological spaces (talk) Start
  Clutching construction (talk) Start
  Completely Hausdorff space (talk) Start
  Deformation retract (talk) Start
  Disjoint union (topology) (talk) Start
  Ehresmann's theorem (talk) Start
  Extension topology (talk) Start
  Finite topological space (talk) Start
  Fundamental class (talk) Start
  Gysin sequence (talk) Start
  Gδ set (talk) Start
  Gδ space (talk) Start
  Khovanov homology (talk) Start
  Lindelöf space (talk) Start
  Michael Starbird (talk) Start
  Morse homology (talk) Start
  PDIFF (talk) Start
  Pair of pants (talk) Start
  Perfect space (talk) Start
  Regular homotopy (talk) Start
  Rose (topology) (talk) Start
  Simple-homotopy equivalence (talk) Start
  Splitting principle (talk) Start
  Todd class (talk) Start
  Trivial topology (talk) Start
  A-paracompact space (talk) Stub
  Alexander duality (talk) Stub
  Algebraic link (talk) Stub
  Atoroidal (talk) Stub
  Berge conjecture (talk) Stub
  Borel conjecture (talk) Stub
  Burau representation (talk) Stub
  Circle-valued Morse theory (talk) Stub
  Closed surface (talk) Stub
  Comb space (talk) Stub
  Compactly-supported homology (talk) Stub
  Configuration space (talk) Stub
  Cover (topology) (talk) Stub
  Crosscap number (talk) Stub
  Cylinder set (talk) Stub
  Dante space (talk) Stub
  De Rham–Weil theorem (talk) Stub
  Dehn twist (talk) Stub
  Dehn's lemma (talk) Stub
  Derived set (mathematics) (talk) Stub
  Development (topology) (talk) Stub
  Double (manifold) (talk) Stub
  Double tangent bundle (talk) Stub
  Dowker notation (talk) Stub
  Dual bundle (talk) Stub
  Dunce hat (topology) (talk) Stub
  EHP spectral sequence (talk) Stub
  Fσ set (talk) Stub
  Homotopy category (talk) Stub
  Hutchinson metric (talk) Stub
  Infinite broom (talk) Stub
  Iterated monodromy group (talk) Stub
  Join (topology) (talk) Stub
  Jordan–Schönflies theorem (talk) Stub
  Kirby calculus (talk) Stub
  Lawrence–Krammer representation (talk) Stub
  Link concordance (talk) Stub
  Loop braid group (talk) Stub
  Map germ (talk) Stub
  Mazur manifold (talk) Stub
  Reeb foliation (talk) Stub
  Regular isotopy (talk) Stub
  Relative interior (talk) Stub
  Self-linking number (talk) Stub
  Sorgenfrey plane (talk) Stub
  Spectral space (talk) Stub
  Spectrum (homotopy theory) (talk) Stub
  Stable homotopy theory (talk) Stub
  Sullivan conjecture (talk) Stub
  Thurston-Bennequin number (talk) Stub
  Seifert fiber space (talk) UNone
Last updated: Sat Jul 4 01:10:02 UTC 2009

Unassessed priority

Article Grade Comments
  Seifert–van Kampen theorem (talk) Start
  Unknotting problem (talk) Start
  Completely metrizable space (talk) Stub
  Exterior (topology) (talk) Stub
  Homeomorphism group (talk) Stub
  Metric (vector bundle) (talk) Stub
  Tietze extension theorem (talk) Stub
  Urysohn's lemma (talk) Stub
  Dehn function (talk) UNone
  Train track map (talk) UNone
Last updated: Sat Jul 4 01:10:02 UTC 2009
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