Matches in SemOpenAlex for { <https://semopenalex.org/work/W2978302004> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2978302004 abstract "We show that the Gurarij space $mathbb{G}$ has extremely amenable automorphism group. This answers a question of Melleray and Tsankov. We also compute the universal minimal flow of the automorphism group of the Poulsen simplex $mathbb{P}$ and we prove that it consists of the canonical action on $mathbb{P}$ itself. This answers a question of Conley and Tornquist. We show that the pointwise stabilizer of any closed proper face of $mathbb{P}$ is extremely amenable. Similarly, the pointwise stabilizer of any closed proper biface of the unit ball of the dual of the Gurarij space (the Lusky simplex) is extremely amenable. These results are obtained via several Kechris-Pestov-Todorcevic correspondences, by establishing the approximate Ramsey property for several classes of finite-dimensional Banach spaces and function systems and their versions with distinguished contractions. This is the first direct application of the Kechris-Pestov-Todorcevic correspondence in the setting of metric structures. The fundamental combinatorial principle that underpins the proofs is the Dual Ramsey Theorem of Graham and Rothschild." @default.
- W2978302004 created "2019-10-10" @default.
- W2978302004 creator A5007326745 @default.
- W2978302004 creator A5045916205 @default.
- W2978302004 creator A5055291347 @default.
- W2978302004 creator A5065713836 @default.
- W2978302004 date "2017-08-03" @default.
- W2978302004 modified "2023-09-23" @default.
- W2978302004 title "The Ramsey property for Banach spaces and Choquet simplices" @default.
- W2978302004 cites W1523234323 @default.
- W2978302004 cites W1526777878 @default.
- W2978302004 cites W1676279040 @default.
- W2978302004 cites W1964432757 @default.
- W2978302004 cites W1995909826 @default.
- W2978302004 cites W1996938568 @default.
- W2978302004 cites W1997745640 @default.
- W2978302004 cites W2014141859 @default.
- W2978302004 cites W2028816357 @default.
- W2978302004 cites W2037678166 @default.
- W2978302004 cites W2060015799 @default.
- W2978302004 cites W2068693306 @default.
- W2978302004 cites W2081151158 @default.
- W2978302004 cites W2088584973 @default.
- W2978302004 cites W2138272393 @default.
- W2978302004 cites W2227848787 @default.
- W2978302004 cites W2290300916 @default.
- W2978302004 cites W2312511319 @default.
- W2978302004 cites W2315711786 @default.
- W2978302004 cites W2318774157 @default.
- W2978302004 cites W2963223195 @default.
- W2978302004 cites W2963768093 @default.
- W2978302004 cites W2964199268 @default.
- W2978302004 hasPublicationYear "2017" @default.
- W2978302004 type Work @default.
- W2978302004 sameAs 2978302004 @default.
- W2978302004 citedByCount "0" @default.
- W2978302004 crossrefType "posted-content" @default.
- W2978302004 hasAuthorship W2978302004A5007326745 @default.
- W2978302004 hasAuthorship W2978302004A5045916205 @default.
- W2978302004 hasAuthorship W2978302004A5055291347 @default.
- W2978302004 hasAuthorship W2978302004A5065713836 @default.
- W2978302004 hasConcept C114614502 @default.
- W2978302004 hasConcept C118615104 @default.
- W2978302004 hasConcept C118712358 @default.
- W2978302004 hasConcept C132954091 @default.
- W2978302004 hasConcept C134306372 @default.
- W2978302004 hasConcept C178790620 @default.
- W2978302004 hasConcept C185592680 @default.
- W2978302004 hasConcept C191948623 @default.
- W2978302004 hasConcept C202444582 @default.
- W2978302004 hasConcept C2777984123 @default.
- W2978302004 hasConcept C2781311116 @default.
- W2978302004 hasConcept C2988750069 @default.
- W2978302004 hasConcept C33923547 @default.
- W2978302004 hasConcept C38803922 @default.
- W2978302004 hasConcept C62438384 @default.
- W2978302004 hasConcept C70710897 @default.
- W2978302004 hasConceptScore W2978302004C114614502 @default.
- W2978302004 hasConceptScore W2978302004C118615104 @default.
- W2978302004 hasConceptScore W2978302004C118712358 @default.
- W2978302004 hasConceptScore W2978302004C132954091 @default.
- W2978302004 hasConceptScore W2978302004C134306372 @default.
- W2978302004 hasConceptScore W2978302004C178790620 @default.
- W2978302004 hasConceptScore W2978302004C185592680 @default.
- W2978302004 hasConceptScore W2978302004C191948623 @default.
- W2978302004 hasConceptScore W2978302004C202444582 @default.
- W2978302004 hasConceptScore W2978302004C2777984123 @default.
- W2978302004 hasConceptScore W2978302004C2781311116 @default.
- W2978302004 hasConceptScore W2978302004C2988750069 @default.
- W2978302004 hasConceptScore W2978302004C33923547 @default.
- W2978302004 hasConceptScore W2978302004C38803922 @default.
- W2978302004 hasConceptScore W2978302004C62438384 @default.
- W2978302004 hasConceptScore W2978302004C70710897 @default.
- W2978302004 hasLocation W29783020041 @default.
- W2978302004 hasOpenAccess W2978302004 @default.
- W2978302004 hasPrimaryLocation W29783020041 @default.
- W2978302004 hasRelatedWork W1921604599 @default.
- W2978302004 hasRelatedWork W19270273 @default.
- W2978302004 hasRelatedWork W1988979716 @default.
- W2978302004 hasRelatedWork W2022458195 @default.
- W2978302004 hasRelatedWork W2064519696 @default.
- W2978302004 hasRelatedWork W2075993477 @default.
- W2978302004 hasRelatedWork W2086759246 @default.
- W2978302004 hasRelatedWork W224633879 @default.
- W2978302004 hasRelatedWork W2418655114 @default.
- W2978302004 hasRelatedWork W2743593314 @default.
- W2978302004 hasRelatedWork W2769439842 @default.
- W2978302004 hasRelatedWork W2883441435 @default.
- W2978302004 hasRelatedWork W2921671537 @default.
- W2978302004 hasRelatedWork W2951751430 @default.
- W2978302004 hasRelatedWork W2952835940 @default.
- W2978302004 hasRelatedWork W3021526215 @default.
- W2978302004 hasRelatedWork W3085158094 @default.
- W2978302004 hasRelatedWork W3137019376 @default.
- W2978302004 hasRelatedWork W3169820778 @default.
- W2978302004 hasRelatedWork W3185185574 @default.
- W2978302004 isParatext "false" @default.
- W2978302004 isRetracted "false" @default.
- W2978302004 magId "2978302004" @default.
- W2978302004 workType "article" @default.