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- Train_track_map abstract "In the mathematical subject of geometric group theory a train track map is a continuous map f from a finite connected graph to itself which is a homotopy equivalence and which has particularly nice cancellation properties with respect to iterations. This map sends vertices to vertices and edges to nontrivial edge-paths with the property that for every edge e of the graph and for every positive integer n the path fn(e) is immersed, that is fn(e) is locally injective on e. Train-track maps are a key tool in analyzing the dynamics of automorphisms of finitely generated free groups and in the study of the Culler–Vogtmann Outer space.".
- Train_track_map wikiPageExternalLink books?id=3sWSRRfNFKgC&pg=PP1&dq=Warren+Dicks,+and+Enric+Ventura.+%22The+group+fixed+by+a+family+of+injective+endomorphisms+of+a+free+group.%22+Contemporary+Mathematics.
- Train_track_map wikiPageExternalLink v=onepage&q=Oleg%20Bogopolski%20Introduction%20to%20Group%20Theory&f=false.
- Train_track_map wikiPageExternalLink 2946562.
- Train_track_map wikiPageExternalLink talk1.pdf.
- Train_track_map wikiPageExternalLink talk2.pdf.
- Train_track_map wikiPageExternalLink talk3.pdf.
- Train_track_map wikiPageExternalLink talk5.pdf.
- Train_track_map wikiPageID "20304533".
- Train_track_map wikiPageLength "22356".
- Train_track_map wikiPageOutDegree "59".
- Train_track_map wikiPageRevisionID "580678612".
- Train_track_map wikiPageWikiLink Annals_of_Mathematics.
- Train_track_map wikiPageWikiLink Automorphism.
- Train_track_map wikiPageWikiLink Betti_number.
- Train_track_map wikiPageWikiLink CW_complex.
- Train_track_map wikiPageWikiLink Category:Combinatorics_on_words.
- Train_track_map wikiPageWikiLink Category:Geometric_group_theory.
- Train_track_map wikiPageWikiLink Category:Geometric_topology.
- Train_track_map wikiPageWikiLink Cell_complex.
- Train_track_map wikiPageWikiLink Conjugacy_class.
- Train_track_map wikiPageWikiLink Conjugacy_problem.
- Train_track_map wikiPageWikiLink Culler–Vogtmann_Outer_space.
- Train_track_map wikiPageWikiLink Dehn_function.
- Train_track_map wikiPageWikiLink Endomorphism.
- Train_track_map wikiPageWikiLink European_Mathematical_Society.
- Train_track_map wikiPageWikiLink Finitely_generated_group.
- Train_track_map wikiPageWikiLink Free_group.
- Train_track_map wikiPageWikiLink Fundamental_group.
- Train_track_map wikiPageWikiLink Generating_set_of_a_group.
- Train_track_map wikiPageWikiLink Geometric_group_theory.
- Train_track_map wikiPageWikiLink Graph_(mathematics).
- Train_track_map wikiPageWikiLink Homeomorphism.
- Train_track_map wikiPageWikiLink Homotopy.
- Train_track_map wikiPageWikiLink Homotopy_equivalence.
- Train_track_map wikiPageWikiLink Hyperbolic_group.
- Train_track_map wikiPageWikiLink Irreducibility_(mathematics).
- Train_track_map wikiPageWikiLink Irreducible_(mathematics).
- Train_track_map wikiPageWikiLink Karen_Vogtmann.
- Train_track_map wikiPageWikiLink Mapping_class_group.
- Train_track_map wikiPageWikiLink Marc_Culler.
- Train_track_map wikiPageWikiLink Mladen_Bestvina.
- Train_track_map wikiPageWikiLink Out(Fn).
- Train_track_map wikiPageWikiLink Outer_space_(mathematics).
- Train_track_map wikiPageWikiLink Perron–Frobenius_theorem.
- Train_track_map wikiPageWikiLink Pseudo-Anosov_map.
- Train_track_map wikiPageWikiLink Rank_of_a_group.
- Train_track_map wikiPageWikiLink Real_tree.
- Train_track_map wikiPageWikiLink Tits_alternative.
- Train_track_map wikiPageWikiLink Train_track_(mathematics).
- Train_track_map wikiPageWikiLink Word-hyperbolic_group.
- Train_track_map wikiPageWikiLinkText "Train track map".
- Train_track_map wikiPageWikiLinkText "train track map".
- Train_track_map hasPhotoCollection Train_track_map.
- Train_track_map wikiPageUsesTemplate Template:Empty_section.
- Train_track_map wikiPageUsesTemplate Template:Reflist.
- Train_track_map subject Category:Combinatorics_on_words.
- Train_track_map subject Category:Geometric_group_theory.
- Train_track_map subject Category:Geometric_topology.
- Train_track_map hypernym Map.
- Train_track_map type Article.
- Train_track_map type Software.
- Train_track_map type Article.
- Train_track_map type Combinatoric.
- Train_track_map comment "In the mathematical subject of geometric group theory a train track map is a continuous map f from a finite connected graph to itself which is a homotopy equivalence and which has particularly nice cancellation properties with respect to iterations. This map sends vertices to vertices and edges to nontrivial edge-paths with the property that for every edge e of the graph and for every positive integer n the path fn(e) is immersed, that is fn(e) is locally injective on e.".
- Train_track_map label "Train track map".
- Train_track_map sameAs m.04zww42.
- Train_track_map sameAs Q7832911.
- Train_track_map sameAs Q7832911.
- Train_track_map wasDerivedFrom Train_track_map?oldid=580678612.
- Train_track_map isPrimaryTopicOf Train_track_map.