Sequence selection properties in $ C_{p} $(X) with the double ideals
Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω,...
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| Autor*in: |
Singh, Sumit [verfasserIn] |
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| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Anmerkung: |
© 2021 Mathematical Institute Slovak Academy of Sciences |
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| Übergeordnetes Werk: |
Enthalten in: Mathematica Slovaca - De Gruyter, 1976, 71(2021), 1 vom: 29. Jan., Seite 147-154 |
|---|---|
| Übergeordnetes Werk: |
volume:71 ; year:2021 ; number:1 ; day:29 ; month:01 ; pages:147-154 |
| Links: |
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| DOI / URN: |
10.1515/ms-2017-0458 |
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| Katalog-ID: |
OLC2142425429 |
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| 520 | |a Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties ( , -α1) and ( , -α4) of $ C_{p} $(X) using the double ideals, where and are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of ( , -α1) and ( , -α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals and , we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have ( , -α1) and ( , -α4) properties. | ||
| 700 | 1 | |a Tyagi, Brij K. |4 aut | |
| 700 | 1 | |a Bhardwaj, Manoj |4 aut | |
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10.1515/ms-2017-0458 doi (DE-627)OLC2142425429 (DE-B1597)ms-2017-0458-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Singh, Sumit verfasserin aut Sequence selection properties in $ C_{p} $(X) with the double ideals 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2021 Mathematical Institute Slovak Academy of Sciences Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. Tyagi, Brij K. aut Bhardwaj, Manoj aut Enthalten in Mathematica Slovaca De Gruyter, 1976 71(2021), 1 vom: 29. Jan., Seite 147-154 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:71 year:2021 number:1 day:29 month:01 pages:147-154 https://doi.org/10.1515/ms-2017-0458 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 71 2021 1 29 01 147-154 |
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10.1515/ms-2017-0458 doi (DE-627)OLC2142425429 (DE-B1597)ms-2017-0458-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Singh, Sumit verfasserin aut Sequence selection properties in $ C_{p} $(X) with the double ideals 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2021 Mathematical Institute Slovak Academy of Sciences Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. Tyagi, Brij K. aut Bhardwaj, Manoj aut Enthalten in Mathematica Slovaca De Gruyter, 1976 71(2021), 1 vom: 29. Jan., Seite 147-154 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:71 year:2021 number:1 day:29 month:01 pages:147-154 https://doi.org/10.1515/ms-2017-0458 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 71 2021 1 29 01 147-154 |
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10.1515/ms-2017-0458 doi (DE-627)OLC2142425429 (DE-B1597)ms-2017-0458-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Singh, Sumit verfasserin aut Sequence selection properties in $ C_{p} $(X) with the double ideals 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2021 Mathematical Institute Slovak Academy of Sciences Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. Tyagi, Brij K. aut Bhardwaj, Manoj aut Enthalten in Mathematica Slovaca De Gruyter, 1976 71(2021), 1 vom: 29. Jan., Seite 147-154 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:71 year:2021 number:1 day:29 month:01 pages:147-154 https://doi.org/10.1515/ms-2017-0458 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 71 2021 1 29 01 147-154 |
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10.1515/ms-2017-0458 doi (DE-627)OLC2142425429 (DE-B1597)ms-2017-0458-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Singh, Sumit verfasserin aut Sequence selection properties in $ C_{p} $(X) with the double ideals 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2021 Mathematical Institute Slovak Academy of Sciences Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. Tyagi, Brij K. aut Bhardwaj, Manoj aut Enthalten in Mathematica Slovaca De Gruyter, 1976 71(2021), 1 vom: 29. Jan., Seite 147-154 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:71 year:2021 number:1 day:29 month:01 pages:147-154 https://doi.org/10.1515/ms-2017-0458 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 71 2021 1 29 01 147-154 |
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10.1515/ms-2017-0458 doi (DE-627)OLC2142425429 (DE-B1597)ms-2017-0458-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Singh, Sumit verfasserin aut Sequence selection properties in $ C_{p} $(X) with the double ideals 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2021 Mathematical Institute Slovak Academy of Sciences Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. Tyagi, Brij K. aut Bhardwaj, Manoj aut Enthalten in Mathematica Slovaca De Gruyter, 1976 71(2021), 1 vom: 29. Jan., Seite 147-154 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:71 year:2021 number:1 day:29 month:01 pages:147-154 https://doi.org/10.1515/ms-2017-0458 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 71 2021 1 29 01 147-154 |
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Sequence selection properties in $ C_{p} $(X) with the double ideals |
| abstract |
Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. © 2021 Mathematical Institute Slovak Academy of Sciences |
| abstractGer |
Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. © 2021 Mathematical Institute Slovak Academy of Sciences |
| abstract_unstemmed |
Abstract Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of $ C_{p} $(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local $ α_{i} $-properties [The frequency spectrum of a topological space and the classification of spaces, Dokl. Akad. Nauk SSSR 13 (1972), 1185–1189]. In this paper, we obtain some characterizations of (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties of $ C_{p} $(X) in the terms of covering properties and selection principles. Under certain conditions on ideals 𝓘 and 𝓙, we identify the minimal cardinalities of a space X for which $ C_{p} $(X) does not have (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) properties. © 2021 Mathematical Institute Slovak Academy of Sciences |
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| title_short |
Sequence selection properties in $ C_{p} $(X) with the double ideals |
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https://doi.org/10.1515/ms-2017-0458 |
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Tyagi, Brij K. Bhardwaj, Manoj |
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| doi_str |
10.1515/ms-2017-0458 |
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2024-07-04T04:14:06.808Z |
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