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dc.contributor.author | Mandal, Dhananjoy | es_ES |
dc.contributor.author | Singha, Achintya | es_ES |
dc.contributor.author | Bag, Sagarmoy | es_ES |
dc.date.accessioned | 2024-04-26T12:40:58Z | |
dc.date.available | 2024-04-26T12:40:58Z | |
dc.date.issued | 2024-04-02 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/203797 | |
dc.description.abstract | [EN] Consider the ring ℳ∘ ( X , μ ) of functions which are discontinuous on a set of measure zero which is introduced and studied extensively in [2]. In this paper, we have introduced a ring B1 ( X , μ ) of functions which are pointwise limits of sequences of functions in ℳ∘ ( X , μ ) . We have studied various properties of zero sets, B1 ( X , μ ) -separated and B1 ( X , μ ) -embedded subsets of B1 ( X , μ ) and also established an analogous version of Urysohn's extension theorem. We have investigated a connection between ideals of B1 ( X , μ ) and ZB -filters on X. We have studied an analogue of Gelfand-Kolmogoroff theorem in our setting. We have defined real maximal ideals of B1 ( X , μ ) and established the result | ℛ M a x ( ℳ∘ ( X , μ ) ) | = | ℛ M a x ( B1 ( X , μ ) ) | , where ℛ M a x ( ℳ∘ ( X , μ ) ) and ℛ M a x ( B1 ( X , μ ) ) are the sets of all real maximal ideals of ℳ∘ ( X , μ ) and B1 ( X , μ ) respectively. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Universitat Politècnica de València | es_ES |
dc.relation.ispartof | Applied General Topology | es_ES |
dc.rights | Reconocimiento - No comercial - Compartir igual (by-nc-sa) | es_ES |
dc.subject | Measure spaces | es_ES |
dc.subject | Complete measure | es_ES |
dc.subject | B1-separated | es_ES |
dc.subject | ZB -filters | es_ES |
dc.subject | B1(X,μ)-compact space | es_ES |
dc.subject | Real maximal ideal | es_ES |
dc.title | Pointwise convergence on the rings of functions which are discontinuous on a set of measure zero | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4995/agt.2024.18884 | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Mandal, D.; Singha, A.; Bag, S. (2024). Pointwise convergence on the rings of functions which are discontinuous on a set of measure zero. Applied General Topology. 25(1):253-275. https://doi.org/10.4995/agt.2024.18884 | es_ES |
dc.description.accrualMethod | OJS | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2024.18884 | es_ES |
dc.description.upvformatpinicio | 253 | es_ES |
dc.description.upvformatpfin | 275 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 25 | es_ES |
dc.description.issue | 1 | es_ES |
dc.identifier.eissn | 1989-4147 | |
dc.relation.pasarela | OJS\18884 | es_ES |