Matches in SemOpenAlex for { <https://semopenalex.org/work/W3008191036> ?p ?o ?g. }
- W3008191036 endingPage "107059" @default.
- W3008191036 startingPage "107059" @default.
- W3008191036 abstract "This paper forms the third part of a series by the authors [12], [11] concerning the structure theory of nilspaces. A nilspace is a compact space X together with closed collections of cubes Cn(X)⊆X2n, n=1,2,…, satisfying some natural axioms. Our goal is to extend the structure theory of nilspaces obtained by Antolín Camarena and Szegedy, and to provide new proofs. Our main result is that, under the technical assumption that Cn(X) is a connected space for all n, then X is isomorphic (in a strong sense) to an inverse limit of nilmanifolds. This is a direct and slight generalization of the main result of Antolín Camarena and Szegedy. We also apply our methods to obtain structure theorems in the setting of topological dynamics. Specifically, if H is a group (subject to very mild topological assumptions) and (H,X) is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of X. This generalizes the case H=Z, which is a theorem of Host, Kra and Maass, although even in that case we give a significantly different proof." @default.
- W3008191036 created "2020-03-06" @default.
- W3008191036 creator A5047625167 @default.
- W3008191036 creator A5088998169 @default.
- W3008191036 creator A5090834349 @default.
- W3008191036 date "2020-05-01" @default.
- W3008191036 modified "2023-10-13" @default.
- W3008191036 title "The structure theory of nilspaces III: Inverse limit representations and topological dynamics" @default.
- W3008191036 cites W1980149586 @default.
- W3008191036 cites W2026256648 @default.
- W3008191036 cites W2039015864 @default.
- W3008191036 cites W2064469747 @default.
- W3008191036 cites W2127881962 @default.
- W3008191036 cites W2141304880 @default.
- W3008191036 cites W2165859273 @default.
- W3008191036 cites W2498900633 @default.
- W3008191036 cites W2777506625 @default.
- W3008191036 cites W2953056257 @default.
- W3008191036 cites W2962875065 @default.
- W3008191036 cites W2963800478 @default.
- W3008191036 cites W2963867777 @default.
- W3008191036 cites W3019228894 @default.
- W3008191036 cites W3102258829 @default.
- W3008191036 cites W3103096447 @default.
- W3008191036 doi "https://doi.org/10.1016/j.aim.2020.107059" @default.
- W3008191036 hasPublicationYear "2020" @default.
- W3008191036 type Work @default.
- W3008191036 sameAs 3008191036 @default.
- W3008191036 citedByCount "19" @default.
- W3008191036 countsByYear W30081910362019 @default.
- W3008191036 countsByYear W30081910362020 @default.
- W3008191036 countsByYear W30081910362021 @default.
- W3008191036 countsByYear W30081910362022 @default.
- W3008191036 countsByYear W30081910362023 @default.
- W3008191036 crossrefType "journal-article" @default.
- W3008191036 hasAuthorship W3008191036A5047625167 @default.
- W3008191036 hasAuthorship W3008191036A5088998169 @default.
- W3008191036 hasAuthorship W3008191036A5090834349 @default.
- W3008191036 hasBestOaLocation W30081910362 @default.
- W3008191036 hasConcept C104317684 @default.
- W3008191036 hasConcept C108710211 @default.
- W3008191036 hasConcept C111472728 @default.
- W3008191036 hasConcept C114614502 @default.
- W3008191036 hasConcept C118615104 @default.
- W3008191036 hasConcept C134306372 @default.
- W3008191036 hasConcept C138885662 @default.
- W3008191036 hasConcept C151201525 @default.
- W3008191036 hasConcept C167729594 @default.
- W3008191036 hasConcept C171250308 @default.
- W3008191036 hasConcept C177148314 @default.
- W3008191036 hasConcept C178099376 @default.
- W3008191036 hasConcept C185592680 @default.
- W3008191036 hasConcept C192562407 @default.
- W3008191036 hasConcept C202444582 @default.
- W3008191036 hasConcept C207467116 @default.
- W3008191036 hasConcept C2524010 @default.
- W3008191036 hasConcept C2778572836 @default.
- W3008191036 hasConcept C2780586882 @default.
- W3008191036 hasConcept C2780841128 @default.
- W3008191036 hasConcept C33923547 @default.
- W3008191036 hasConcept C41895202 @default.
- W3008191036 hasConcept C47600822 @default.
- W3008191036 hasConcept C53936288 @default.
- W3008191036 hasConcept C55112680 @default.
- W3008191036 hasConcept C55493867 @default.
- W3008191036 hasConcept C81332173 @default.
- W3008191036 hasConceptScore W3008191036C104317684 @default.
- W3008191036 hasConceptScore W3008191036C108710211 @default.
- W3008191036 hasConceptScore W3008191036C111472728 @default.
- W3008191036 hasConceptScore W3008191036C114614502 @default.
- W3008191036 hasConceptScore W3008191036C118615104 @default.
- W3008191036 hasConceptScore W3008191036C134306372 @default.
- W3008191036 hasConceptScore W3008191036C138885662 @default.
- W3008191036 hasConceptScore W3008191036C151201525 @default.
- W3008191036 hasConceptScore W3008191036C167729594 @default.
- W3008191036 hasConceptScore W3008191036C171250308 @default.
- W3008191036 hasConceptScore W3008191036C177148314 @default.
- W3008191036 hasConceptScore W3008191036C178099376 @default.
- W3008191036 hasConceptScore W3008191036C185592680 @default.
- W3008191036 hasConceptScore W3008191036C192562407 @default.
- W3008191036 hasConceptScore W3008191036C202444582 @default.
- W3008191036 hasConceptScore W3008191036C207467116 @default.
- W3008191036 hasConceptScore W3008191036C2524010 @default.
- W3008191036 hasConceptScore W3008191036C2778572836 @default.
- W3008191036 hasConceptScore W3008191036C2780586882 @default.
- W3008191036 hasConceptScore W3008191036C2780841128 @default.
- W3008191036 hasConceptScore W3008191036C33923547 @default.
- W3008191036 hasConceptScore W3008191036C41895202 @default.
- W3008191036 hasConceptScore W3008191036C47600822 @default.
- W3008191036 hasConceptScore W3008191036C53936288 @default.
- W3008191036 hasConceptScore W3008191036C55112680 @default.
- W3008191036 hasConceptScore W3008191036C55493867 @default.
- W3008191036 hasConceptScore W3008191036C81332173 @default.
- W3008191036 hasFunder F4320320006 @default.
- W3008191036 hasFunder F4320322511 @default.
- W3008191036 hasFunder F4320334678 @default.
- W3008191036 hasLocation W30081910361 @default.
- W3008191036 hasLocation W30081910362 @default.