Matches in SemOpenAlex for { <https://semopenalex.org/work/W2347789189> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W2347789189 abstract "The category of individual sets and the category of strong individual sets are proved to be much similar to the category of sets by using method of category theory.For example,for each cardinality α,there exists an individual set(resp.,a strong individual set) Xα such that |Xα|=α,where |Xα| is the cardinality of Xα;individual sets and strong individual sets are closed under the operations of subsets and powers;both the category of nonempty individual sets and the category of nonempty strong individual sets are complete monoidal topoi.Superstructure functor V and ultrapower functor HF are constructed and the following conclusions are obtained:(1) For any nonempty strong individual sets X and Y,a map g:X→Y is an injection(resp.,a surjection) if and only if V(g) is an injection(resp.,a surjection);(2) For any sets X and Y,a map g:X→Y is an injection(resp.,a surjection) if and only if HF(g) is an injection(resp.,a surjection)." @default.
- W2347789189 created "2016-06-24" @default.
- W2347789189 creator A5082619441 @default.
- W2347789189 date "2013-01-01" @default.
- W2347789189 modified "2023-09-27" @default.
- W2347789189 title "Categorical properties of individual sets and strong individual sets" @default.
- W2347789189 hasPublicationYear "2013" @default.
- W2347789189 type Work @default.
- W2347789189 sameAs 2347789189 @default.
- W2347789189 citedByCount "0" @default.
- W2347789189 crossrefType "journal-article" @default.
- W2347789189 hasAuthorship W2347789189A5082619441 @default.
- W2347789189 hasConcept C105795698 @default.
- W2347789189 hasConcept C114614502 @default.
- W2347789189 hasConcept C118615104 @default.
- W2347789189 hasConcept C119238805 @default.
- W2347789189 hasConcept C124101348 @default.
- W2347789189 hasConcept C156772000 @default.
- W2347789189 hasConcept C177264268 @default.
- W2347789189 hasConcept C199360897 @default.
- W2347789189 hasConcept C33923547 @default.
- W2347789189 hasConcept C41008148 @default.
- W2347789189 hasConcept C5274069 @default.
- W2347789189 hasConcept C87117476 @default.
- W2347789189 hasConceptScore W2347789189C105795698 @default.
- W2347789189 hasConceptScore W2347789189C114614502 @default.
- W2347789189 hasConceptScore W2347789189C118615104 @default.
- W2347789189 hasConceptScore W2347789189C119238805 @default.
- W2347789189 hasConceptScore W2347789189C124101348 @default.
- W2347789189 hasConceptScore W2347789189C156772000 @default.
- W2347789189 hasConceptScore W2347789189C177264268 @default.
- W2347789189 hasConceptScore W2347789189C199360897 @default.
- W2347789189 hasConceptScore W2347789189C33923547 @default.
- W2347789189 hasConceptScore W2347789189C41008148 @default.
- W2347789189 hasConceptScore W2347789189C5274069 @default.
- W2347789189 hasConceptScore W2347789189C87117476 @default.
- W2347789189 hasLocation W23477891891 @default.
- W2347789189 hasOpenAccess W2347789189 @default.
- W2347789189 hasPrimaryLocation W23477891891 @default.
- W2347789189 hasRelatedWork W1536815990 @default.
- W2347789189 hasRelatedWork W1981049756 @default.
- W2347789189 hasRelatedWork W2014194406 @default.
- W2347789189 hasRelatedWork W2047174547 @default.
- W2347789189 hasRelatedWork W2048906876 @default.
- W2347789189 hasRelatedWork W2060119423 @default.
- W2347789189 hasRelatedWork W2124799598 @default.
- W2347789189 hasRelatedWork W2189094959 @default.
- W2347789189 hasRelatedWork W2264723279 @default.
- W2347789189 hasRelatedWork W2770150029 @default.
- W2347789189 hasRelatedWork W2785378766 @default.
- W2347789189 hasRelatedWork W2902867956 @default.
- W2347789189 hasRelatedWork W2954639182 @default.
- W2347789189 hasRelatedWork W2962774860 @default.
- W2347789189 hasRelatedWork W2966837478 @default.
- W2347789189 hasRelatedWork W3101945113 @default.
- W2347789189 hasRelatedWork W3123064031 @default.
- W2347789189 hasRelatedWork W768412142 @default.
- W2347789189 hasRelatedWork W189831587 @default.
- W2347789189 hasRelatedWork W2461539310 @default.
- W2347789189 isParatext "false" @default.
- W2347789189 isRetracted "false" @default.
- W2347789189 magId "2347789189" @default.
- W2347789189 workType "article" @default.