Matches in SemOpenAlex for { <https://semopenalex.org/work/W3041512537> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W3041512537 endingPage "107323" @default.
- W3041512537 startingPage "107323" @default.
- W3041512537 abstract "We first introduce and study two new classes of subsets in T0 spaces — Rudin sets and WD sets lying between the class of all closures of directed subsets and that of irreducible closed subsets. Using such subsets, we define three new types of topological spaces — DC spaces, Rudin spaces and WD spaces. Rudin spaces lie between WD spaces and DC spaces, while DC spaces lie between Rudin spaces and sober spaces. Using Rudin sets and WD sets, we formulate and prove a number of new characterizations of well-filtered spaces and sober spaces. For a T0 space X, it is proved that X is sober iff X is a well-filtered Rudin space iff X is a well-filtered WD space. We also prove that every locally compact T0 space is a Rudin space, and every core compact T0 space is a WD space. One immediate corollary is that every core compact well-filtered space is sober, giving a positive answer to Jia-Jung problem. Using WD sets, we present a more direct construction of the well-filtered reflections of T0 spaces, and prove that the products of any collection of well-filtered spaces are well-filtered. Our study also leads to a number of problems, whose answers will deepen our understanding of the related spaces and structures." @default.
- W3041512537 created "2020-07-16" @default.
- W3041512537 creator A5014620401 @default.
- W3041512537 creator A5060159217 @default.
- W3041512537 creator A5067390881 @default.
- W3041512537 creator A5084801735 @default.
- W3041512537 date "2020-08-01" @default.
- W3041512537 modified "2023-10-18" @default.
- W3041512537 title "On T0 spaces determined by well-filtered spaces" @default.
- W3041512537 cites W1963725260 @default.
- W3041512537 cites W1987786302 @default.
- W3041512537 cites W2005449309 @default.
- W3041512537 cites W2010712820 @default.
- W3041512537 cites W2037036627 @default.
- W3041512537 cites W2049601568 @default.
- W3041512537 cites W2069246348 @default.
- W3041512537 cites W2082150991 @default.
- W3041512537 cites W2221533885 @default.
- W3041512537 cites W2468407376 @default.
- W3041512537 cites W2624291954 @default.
- W3041512537 cites W2809211374 @default.
- W3041512537 cites W2887953344 @default.
- W3041512537 cites W2970748401 @default.
- W3041512537 doi "https://doi.org/10.1016/j.topol.2020.107323" @default.
- W3041512537 hasPublicationYear "2020" @default.
- W3041512537 type Work @default.
- W3041512537 sameAs 3041512537 @default.
- W3041512537 citedByCount "26" @default.
- W3041512537 countsByYear W30415125372020 @default.
- W3041512537 countsByYear W30415125372021 @default.
- W3041512537 countsByYear W30415125372022 @default.
- W3041512537 countsByYear W30415125372023 @default.
- W3041512537 crossrefType "journal-article" @default.
- W3041512537 hasAuthorship W3041512537A5014620401 @default.
- W3041512537 hasAuthorship W3041512537A5060159217 @default.
- W3041512537 hasAuthorship W3041512537A5067390881 @default.
- W3041512537 hasAuthorship W3041512537A5084801735 @default.
- W3041512537 hasBestOaLocation W30415125371 @default.
- W3041512537 hasConcept C104317684 @default.
- W3041512537 hasConcept C111919701 @default.
- W3041512537 hasConcept C118615104 @default.
- W3041512537 hasConcept C154945302 @default.
- W3041512537 hasConcept C169976997 @default.
- W3041512537 hasConcept C178099376 @default.
- W3041512537 hasConcept C185592680 @default.
- W3041512537 hasConcept C202444582 @default.
- W3041512537 hasConcept C2777212361 @default.
- W3041512537 hasConcept C2778572836 @default.
- W3041512537 hasConcept C2780012671 @default.
- W3041512537 hasConcept C33923547 @default.
- W3041512537 hasConcept C41008148 @default.
- W3041512537 hasConcept C42178598 @default.
- W3041512537 hasConcept C55112680 @default.
- W3041512537 hasConcept C55493867 @default.
- W3041512537 hasConcept C6183050 @default.
- W3041512537 hasConcept C6419321 @default.
- W3041512537 hasConceptScore W3041512537C104317684 @default.
- W3041512537 hasConceptScore W3041512537C111919701 @default.
- W3041512537 hasConceptScore W3041512537C118615104 @default.
- W3041512537 hasConceptScore W3041512537C154945302 @default.
- W3041512537 hasConceptScore W3041512537C169976997 @default.
- W3041512537 hasConceptScore W3041512537C178099376 @default.
- W3041512537 hasConceptScore W3041512537C185592680 @default.
- W3041512537 hasConceptScore W3041512537C202444582 @default.
- W3041512537 hasConceptScore W3041512537C2777212361 @default.
- W3041512537 hasConceptScore W3041512537C2778572836 @default.
- W3041512537 hasConceptScore W3041512537C2780012671 @default.
- W3041512537 hasConceptScore W3041512537C33923547 @default.
- W3041512537 hasConceptScore W3041512537C41008148 @default.
- W3041512537 hasConceptScore W3041512537C42178598 @default.
- W3041512537 hasConceptScore W3041512537C55112680 @default.
- W3041512537 hasConceptScore W3041512537C55493867 @default.
- W3041512537 hasConceptScore W3041512537C6183050 @default.
- W3041512537 hasConceptScore W3041512537C6419321 @default.
- W3041512537 hasFunder F4320321001 @default.
- W3041512537 hasFunder F4320321605 @default.
- W3041512537 hasFunder F4320322665 @default.
- W3041512537 hasFunder F4320323652 @default.
- W3041512537 hasLocation W30415125371 @default.
- W3041512537 hasLocation W30415125372 @default.
- W3041512537 hasOpenAccess W3041512537 @default.
- W3041512537 hasPrimaryLocation W30415125371 @default.
- W3041512537 hasRelatedWork W1160364328 @default.
- W3041512537 hasRelatedWork W2069315078 @default.
- W3041512537 hasRelatedWork W2255708280 @default.
- W3041512537 hasRelatedWork W2568449937 @default.
- W3041512537 hasRelatedWork W2963190435 @default.
- W3041512537 hasRelatedWork W2972833470 @default.
- W3041512537 hasRelatedWork W30140727 @default.
- W3041512537 hasRelatedWork W3017124157 @default.
- W3041512537 hasRelatedWork W3116527115 @default.
- W3041512537 hasRelatedWork W2140248489 @default.
- W3041512537 hasVolume "282" @default.
- W3041512537 isParatext "false" @default.
- W3041512537 isRetracted "false" @default.
- W3041512537 magId "3041512537" @default.
- W3041512537 workType "article" @default.