{"doi":"10.37394/23206.2020.19.12","title":"ωb-Topological Vector Spaces","abstract":"<jats:p>The purpose of the present paper is to introduce the new class of ω b - topological vector spaces. We study several basic and fundamental properties of ω b - topological and investigate their relationships with certain existing spaces. Along with other results, we prove that transformation of an open (resp. closed) set in aω b - topological vector space is ω b - open (resp. closed). In addition, some important and useful characterizations of ω b - topological vector spaces are established. We also introduce the notion of almost ω b - topological vector spaces and present several general properties of almost ω b - topological vector spaces.</jats:p>","journal":"WSEAS TRANSACTIONS ON MATHEMATICS","year":2020,"id":35871,"datarank":0.10397207708399181,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"self_citation_contribution":0.10397207708399181,"citation_network_contribution":0.0,"self_endowment_contribution":0.10397207708399181,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":182855,"name":"Raja Mohammad Latif","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.6931471805599453,"endowment":0.6931471805599453,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"18998881","pmcid":null,"openalex_id":"https://openalex.org/W3132749295","authors":[],"funders":[],"total_grants":0,"fwci":0.1859,"citation_percentile":0.61375193,"influential_citations":0,"citation_trend":[{"year":2021,"count":1}],"oa_status":"gold","license":"other-oa","oa_locations":[{"url":"https://doi.org/10.37394/23206.2020.19.12","host_type":"journal"},{"url":"https://doi.org/10.37394/23206.2020.19.12","host_type":"GOLD"},{"url":"https://doi.org/10.37394/23206.2020.19.12","host_type":"publisher"},{"url":"http://doi.org/10.37394/23206.2020.19.12","host_type":"journal"}],"fields_of_study":["Fuzzy and Soft Set Theory","Advanced Algebra and Logic","Fixed Point Theorems Analysis","Mathematics"],"mesh_terms":[],"keywords":["Topological vector space","Locally convex topological vector space","Topological space","Topological tensor product","Mathematics","Vector space","Topology (electrical circuits)","Topological algebra","Dual space","Connected space","Pure mathematics","Closed set","Homeomorphism (graph theory)","Discrete mathematics","Combinatorics","Functional analysis","Biology"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-10T10:34:20.528285Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}