Matches in SemOpenAlex for { <https://semopenalex.org/work/W2910966666> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2910966666 abstract "We initiate the study of definable V-topolgies and show that there is at most one such V-topology on a t-henselian NIP field. Equivalently, we show that if $(K,v_1,v_2)$ is a bi-valued NIP field with $v_1$ henselian (resp. t-henselian) then $v_1$ and $v_2$ are comparable (resp. dependent). As a consequence Shelah's conjecture for NIP fields implies the henselianity conjecture for NIP fields. Furthermore, the latter conjecture is proved for any field admitting a henselian valuation with a dp-minimal residue field. We conclude by showing that Shelah's conjecture is equivalent to the statement that any NIP field not contained in the algebraic closure of a finite field is t-henselian." @default.
- W2910966666 created "2019-01-25" @default.
- W2910966666 creator A5025237890 @default.
- W2910966666 creator A5030888095 @default.
- W2910966666 creator A5054580706 @default.
- W2910966666 date "2019-01-17" @default.
- W2910966666 modified "2023-09-27" @default.
- W2910966666 title "Definable V-topologies, Henselianity and NIP." @default.
- W2910966666 cites W1485050916 @default.
- W2910966666 cites W1871045369 @default.
- W2910966666 cites W1993703767 @default.
- W2910966666 cites W2028101264 @default.
- W2910966666 cites W2081511260 @default.
- W2910966666 cites W2081719649 @default.
- W2910966666 cites W2138440159 @default.
- W2910966666 cites W2384575458 @default.
- W2910966666 cites W2494700219 @default.
- W2910966666 cites W2500166908 @default.
- W2910966666 cites W2510729508 @default.
- W2910966666 cites W2527661395 @default.
- W2910966666 cites W2550342065 @default.
- W2910966666 cites W2803538839 @default.
- W2910966666 cites W2891111620 @default.
- W2910966666 cites W2902665928 @default.
- W2910966666 cites W2963267314 @default.
- W2910966666 cites W3126002807 @default.
- W2910966666 cites W3162566251 @default.
- W2910966666 cites W619339145 @default.
- W2910966666 hasPublicationYear "2019" @default.
- W2910966666 type Work @default.
- W2910966666 sameAs 2910966666 @default.
- W2910966666 citedByCount "7" @default.
- W2910966666 countsByYear W29109666662019 @default.
- W2910966666 countsByYear W29109666662020 @default.
- W2910966666 crossrefType "posted-content" @default.
- W2910966666 hasAuthorship W2910966666A5025237890 @default.
- W2910966666 hasAuthorship W2910966666A5030888095 @default.
- W2910966666 hasAuthorship W2910966666A5054580706 @default.
- W2910966666 hasConcept C114614502 @default.
- W2910966666 hasConcept C118615104 @default.
- W2910966666 hasConcept C134306372 @default.
- W2910966666 hasConcept C182327082 @default.
- W2910966666 hasConcept C182420344 @default.
- W2910966666 hasConcept C186219872 @default.
- W2910966666 hasConcept C199360897 @default.
- W2910966666 hasConcept C202444582 @default.
- W2910966666 hasConcept C2780990831 @default.
- W2910966666 hasConcept C2781025942 @default.
- W2910966666 hasConcept C33923547 @default.
- W2910966666 hasConcept C41008148 @default.
- W2910966666 hasConcept C51544822 @default.
- W2910966666 hasConcept C78045399 @default.
- W2910966666 hasConcept C9652623 @default.
- W2910966666 hasConceptScore W2910966666C114614502 @default.
- W2910966666 hasConceptScore W2910966666C118615104 @default.
- W2910966666 hasConceptScore W2910966666C134306372 @default.
- W2910966666 hasConceptScore W2910966666C182327082 @default.
- W2910966666 hasConceptScore W2910966666C182420344 @default.
- W2910966666 hasConceptScore W2910966666C186219872 @default.
- W2910966666 hasConceptScore W2910966666C199360897 @default.
- W2910966666 hasConceptScore W2910966666C202444582 @default.
- W2910966666 hasConceptScore W2910966666C2780990831 @default.
- W2910966666 hasConceptScore W2910966666C2781025942 @default.
- W2910966666 hasConceptScore W2910966666C33923547 @default.
- W2910966666 hasConceptScore W2910966666C41008148 @default.
- W2910966666 hasConceptScore W2910966666C51544822 @default.
- W2910966666 hasConceptScore W2910966666C78045399 @default.
- W2910966666 hasConceptScore W2910966666C9652623 @default.
- W2910966666 hasLocation W29109666661 @default.
- W2910966666 hasOpenAccess W2910966666 @default.
- W2910966666 hasPrimaryLocation W29109666661 @default.
- W2910966666 hasRelatedWork W1975091179 @default.
- W2910966666 hasRelatedWork W2005006668 @default.
- W2910966666 hasRelatedWork W2013506183 @default.
- W2910966666 hasRelatedWork W2016066247 @default.
- W2910966666 hasRelatedWork W2021011913 @default.
- W2910966666 hasRelatedWork W2025798178 @default.
- W2910966666 hasRelatedWork W2035160890 @default.
- W2910966666 hasRelatedWork W2055445942 @default.
- W2910966666 hasRelatedWork W2124542286 @default.
- W2910966666 hasRelatedWork W2243243151 @default.
- W2910966666 hasRelatedWork W2321878871 @default.
- W2910966666 hasRelatedWork W2945985055 @default.
- W2910966666 hasRelatedWork W2949733702 @default.
- W2910966666 hasRelatedWork W2952075418 @default.
- W2910966666 hasRelatedWork W2953134397 @default.
- W2910966666 hasRelatedWork W2980918788 @default.
- W2910966666 hasRelatedWork W3034640706 @default.
- W2910966666 hasRelatedWork W3104415461 @default.
- W2910966666 hasRelatedWork W3117411575 @default.
- W2910966666 hasRelatedWork W3209448881 @default.
- W2910966666 isParatext "false" @default.
- W2910966666 isRetracted "false" @default.
- W2910966666 magId "2910966666" @default.
- W2910966666 workType "article" @default.