Al’perin, Mikhail; Osipov, Alexander V. Generalization of the Grothendieck’s theorem. (English) Zbl 07739139 Topology Appl. 338, Article ID 108648, 11 p. (2023). MSC: 54C35 54E15 54C25 91A05 PDF BibTeX XML Cite \textit{M. Al'perin} and \textit{A. V. Osipov}, Topology Appl. 338, Article ID 108648, 11 p. (2023; Zbl 07739139) Full Text: DOI arXiv
Al’perin, Mikhail; Nokhrin, Sergei; Osipov, Alexander V. Embedding theorems for function spaces. (English) Zbl 07680002 Topology Appl. 332, Article ID 108523, 19 p. (2023). Reviewer: Vladimir Tkachuk (Ciudad de México) MSC: 54C35 54C40 54C25 54H11 PDF BibTeX XML Cite \textit{M. Al'perin} et al., Topology Appl. 332, Article ID 108523, 19 p. (2023; Zbl 07680002) Full Text: DOI arXiv
Luthra, Sheetal; Chauhan, Harsh V. S.; Tyagi, B. K. The bi-clp-compact-open topology on function spaces. (English) Zbl 07673599 Quest. Answers Gen. Topology 40, No. 2, 113-123 (2022). MSC: 54C35 54H11 54A10 54C05 PDF BibTeX XML Cite \textit{S. Luthra} et al., Quest. Answers Gen. Topology 40, No. 2, 113--123 (2022; Zbl 07673599)
Martínez-Cadena, Juan Alberto; Tamariz-Mascarúa, Ángel The selectively pseudocompact-open topology on \(C(X)\). (English) Zbl 1482.54020 Bull. Iran. Math. Soc. 47, No. 5, 1611-1628 (2021). Reviewer: Abderrahmane Bouchair (Jijel) MSC: 54C35 54E40 54E52 54H11 PDF BibTeX XML Cite \textit{J. A. Martínez-Cadena} and \textit{Á. Tamariz-Mascarúa}, Bull. Iran. Math. Soc. 47, No. 5, 1611--1628 (2021; Zbl 1482.54020) Full Text: DOI
Osipov, Alexander V. Indestructibly productively Lindelöf and Menger function spaces. (English) Zbl 1457.54014 Topology Appl. 281, Article ID 107202, 7 p. (2020). Reviewer: Zuquan Li (Hangzhou) MSC: 54C35 54D20 54C25 54C40 PDF BibTeX XML Cite \textit{A. V. Osipov}, Topology Appl. 281, Article ID 107202, 7 p. (2020; Zbl 1457.54014) Full Text: DOI arXiv
Harkat, Lamia; Bouchair, Abderrahmane; Kelaiaia, Smail Comparison of some set open and uniform topologies and some properties of the restriction maps. (English) Zbl 1488.54061 Hacet. J. Math. Stat. 48, No. 1, 17-27 (2019). MSC: 54C35 PDF BibTeX XML Cite \textit{L. Harkat} et al., Hacet. J. Math. Stat. 48, No. 1, 17--27 (2019; Zbl 1488.54061) Full Text: Link
Bouchair, Abderrahmane; Dekkar, Imane Necessary and sufficient conditions for admissible set open topologies. (English) Zbl 1415.54009 Topology Appl. 256, 198-207 (2019). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 54C35 PDF BibTeX XML Cite \textit{A. Bouchair} and \textit{I. Dekkar}, Topology Appl. 256, 198--207 (2019; Zbl 1415.54009) Full Text: DOI
Osipov, A. V. Separability and sequential separability of the space \(C(X)\). (English. Russian original) Zbl 1405.54009 Math. Notes 104, No. 1, 86-95 (2018); translation from Mat. Zametki 104, No. 1, 87-98 (2018). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 54C35 54D65 PDF BibTeX XML Cite \textit{A. V. Osipov}, Math. Notes 104, No. 1, 86--95 (2018; Zbl 1405.54009); translation from Mat. Zametki 104, No. 1, 87--98 (2018) Full Text: DOI
Alqurashi, Wafa Khalaf; Khan, Liaqat Ali; Osipov, Alexander V. Set-open topologies on function spaces. (English) Zbl 1392.54020 Appl. Gen. Topol. 19, No. 1, 55-64 (2018). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 54C35 54C30 54E15 54C08 PDF BibTeX XML Cite \textit{W. K. Alqurashi} et al., Appl. Gen. Topol. 19, No. 1, 55--64 (2018; Zbl 1392.54020) Full Text: DOI Link
Osipov, Aleksandr Vladimirovich Group structures on function spaces with the set-open topology. (Group structures of a function spaces with the set-open topology.) (English) Zbl 1386.54010 Sib. Èlektron. Mat. Izv. 14, 1440-1446 (2017). MSC: 54C35 54H11 PDF BibTeX XML Cite \textit{A. V. Osipov}, Sib. Èlektron. Mat. Izv. 14, 1440--1446 (2017; Zbl 1386.54010) Full Text: DOI arXiv
Osmanoğlu, İsmail The clp-compact-open topology on function spaces. (English) Zbl 1378.54022 J. Adv. Stud. Topol. 8, No. 1, 31-39 (2017). MSC: 54C35 54D65 54E35 54E50 54E99 PDF BibTeX XML Cite \textit{İ. Osmanoğlu}, J. Adv. Stud. Topol. 8, No. 1, 31--39 (2017; Zbl 1378.54022) Full Text: DOI
Osipov, Alexander V. Uniformity of uniform convergence on the family of sets. (English) Zbl 1384.54011 Topol. Proc. 50, 79-86 (2017). MSC: 54C35 54D25 54B10 54D45 54A10 54D30 PDF BibTeX XML Cite \textit{A. V. Osipov}, Topol. Proc. 50, 79--86 (2017; Zbl 1384.54011) Full Text: arXiv
Osipov, Alexander V.; Özçağ, Selma Variations of selective separability and tightness in function spaces with set-open topologies. (English) Zbl 1358.54016 Topology Appl. 217, 38-50 (2017). Reviewer: Laszlo Zsilinszky (Pembroke) MSC: 54C35 54C40 54D65 54E55 PDF BibTeX XML Cite \textit{A. V. Osipov} and \textit{S. Özçağ}, Topology Appl. 217, 38--50 (2017; Zbl 1358.54016) Full Text: DOI arXiv
Tokat, Deniz; Osmanoğlu, İsmail Some properties of the quasicompact-open topology on \(C(X)\). (English) Zbl 1341.54008 J. Nonlinear Sci. Appl. 9, No. 6, 3511-3518 (2016). MSC: 54C35 54D65 54E35 PDF BibTeX XML Cite \textit{D. Tokat} and \textit{İ. Osmanoğlu}, J. Nonlinear Sci. Appl. 9, No. 6, 3511--3518 (2016; Zbl 1341.54008) Full Text: DOI Link
Osipov, Alexander V. On the completeness properties of the \(C\)-compact-open topology on \(C(X)\). (English) Zbl 1396.54019 Ural Math. J. 1, No. 1, 61-67 (2015). MSC: 54C35 54C10 PDF BibTeX XML Cite \textit{A. V. Osipov}, Ural Math. J. 1, No. 1, 61--67 (2015; Zbl 1396.54019) Full Text: DOI MNR
Bouchair, Abderrahmane; Kelaiaia, Smail Some results on \(C(X)\) with set open topology. (English) Zbl 1374.54023 Math. Rep., Buchar. 17(67), No. 2, 167-182 (2015). MSC: 54C35 91A44 PDF BibTeX XML Cite \textit{A. Bouchair} and \textit{S. Kelaiaia}, Math. Rep., Buchar. 17(67), No. 2, 167--182 (2015; Zbl 1374.54023)
Bouchair, A.; Kelaiaia, S. Comparison of some set open topologies on \(C(X, Y)\). (English) Zbl 1305.54027 Topology Appl. 178, 352-359 (2014). Reviewer: Dimitris Georgiou (Patras) MSC: 54C35 PDF BibTeX XML Cite \textit{A. Bouchair} and \textit{S. Kelaiaia}, Topology Appl. 178, 352--359 (2014; Zbl 1305.54027) Full Text: DOI
Osipov, A. V.; Pytkeev, E. G. On the \(\sigma\)-countable compactness of spaces of continuous functions with the set-open topology. (English. Russian original) Zbl 1307.54024 Proc. Steklov Inst. Math. 285, Suppl. 1, S153-S162 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 3, 251-260 (2013). Reviewer: Abderrahmane Bouchair (Jijel) MSC: 54C35 54D30 PDF BibTeX XML Cite \textit{A. V. Osipov} and \textit{E. G. Pytkeev}, Proc. Steklov Inst. Math. 285, S153--S162 (2014; Zbl 1307.54024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 3, 251--260 (2013) Full Text: DOI
Di Concilio, A. Action on hyperspaces. (English) Zbl 1278.54012 Topol. Proc. 41, 85-98 (2013). Reviewer: Abderrahmane Bouchair (Jijel) MSC: 54C35 57S05 54H99 PDF BibTeX XML Cite \textit{A. Di Concilio}, Topol. Proc. 41, 85--98 (2013; Zbl 1278.54012)
Di Concilio, A. Topologizing homeomorphism groups. (English) Zbl 1272.54031 J. Funct. Spaces Appl. 2013, Article ID 894108, 14 p. (2013). Reviewer: Dieter Leseberg (FU Berlin) MSC: 54H11 22A26 22C05 22D12 54-02 54A10 54C05 54C10 54C35 54D30 54D35 PDF BibTeX XML Cite \textit{A. Di Concilio}, J. Funct. Spaces Appl. 2013, Article ID 894108, 14 p. (2013; Zbl 1272.54031) Full Text: DOI
Osipov, A. V. Algebraic structures on the space of continuous maps. (Russian. English summary) Zbl 07592889 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2012, No. 1(17), 47-53 (2012). MSC: 54-XX 46-XX PDF BibTeX XML Cite \textit{A. V. Osipov}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2012, No. 1(17), 47--53 (2012; Zbl 07592889) Full Text: MNR
Osipov, Alexander V. Topological vector space of continuous functions with the weak set-open topology. (English) Zbl 1300.54025 Arhangel’skii, Alexander V. (ed.) et al., Proceedings of the international conference on topology and its applications (ICTA 2011), Islamabad, Pakistan, July 4–10, 2011. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-17-9/pbk). 257-264 (2012). MSC: 54C35 54C40 54D60 54H11 46E10 PDF BibTeX XML Cite \textit{A. V. Osipov}, in: Proceedings of the international conference on topology and its applications (ICTA 2011), Islamabad, Pakistan, July 4--10, 2011. Cambridge: Cambridge Scientific Publishers. 257--264 (2012; Zbl 1300.54025)
Osipov, Alexander V. The \(C\)-compact-open topology on function spaces. (English) Zbl 1250.54019 Topology Appl. 159, No. 13, 3059-3066 (2012). Reviewer: Laszlo Zsilinszky (Pembroke) MSC: 54C35 54C40 54H11 46E10 PDF BibTeX XML Cite \textit{A. V. Osipov}, Topology Appl. 159, No. 13, 3059--3066 (2012; Zbl 1250.54019) Full Text: DOI arXiv
Osipov, Alexander V. Topological-algebraic properties of function spaces with set-open topologies. (English) Zbl 1243.54037 Topology Appl. 159, No. 3, 800-805 (2012). Reviewer: Pao-Sheng Hsu (Columbia Falls) MSC: 54C40 54C35 54D60 54H11 46E10 54A10 PDF BibTeX XML Cite \textit{A. V. Osipov}, Topology Appl. 159, No. 3, 800--805 (2012; Zbl 1243.54037) Full Text: DOI
Osipov, A. V.; Kosolobov, D. A. On sequentially compact-open topology. (Russian. English summary) Zbl 1299.54034 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 2011, No. 3, 75-84 (2011). MSC: 54C40 54C35 54D60 PDF BibTeX XML Cite \textit{A. V. Osipov} and \textit{D. A. Kosolobov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 2011, No. 3, 75--84 (2011; Zbl 1299.54034) Full Text: DOI MNR
Osipov, A. V. The set-open topology. (English) Zbl 1227.54021 Topol. Proc. 37, 205-217 (2011). Reviewer: Nikolaos Papanastassiou (Athens) MSC: 54C35 54D30 54D60 54G10 54G99 54A10 PDF BibTeX XML Cite \textit{A. V. Osipov}, Topol. Proc. 37, 205--217 (2011; Zbl 1227.54021)
Nokhrin, S. E.; Osipov, A. V. On the coincidence of set-open and uniform topologies. (English. Russian original) Zbl 1235.54010 Proc. Steklov Inst. Math. 267, Suppl. 1 (2009, Suppl. 3), S184-S191 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 2 (2009). MSC: 54C35 54A10 PDF BibTeX XML Cite \textit{S. E. Nokhrin} and \textit{A. V. Osipov}, Proc. Steklov Inst. Math. 267, S184--S191 (2009; Zbl 1235.54010); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 2 (2009) Full Text: DOI
Smail, Kelaiaia A condition for points and compact subsets of \(C(X)\) to be \(G_\delta\) subsets of \(\mathbb{R}^X\). (English) Zbl 1194.54024 Int. J. Appl. Math. 22, No. 7, 1145-1151 (2009). MSC: 54C35 PDF BibTeX XML Cite \textit{K. Smail}, Int. J. Appl. Math. 22, No. 7, 1145--1151 (2009; Zbl 1194.54024)
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar Hyperspace and function space are duals. (English) Zbl 1126.54007 Quest. Answers Gen. Topology 25, No. 1, 23-43 (2007). Reviewer: Tamás Mátrai (Karlsruhe) MSC: 54C35 54A20 54E05 54E15 PDF BibTeX XML Cite \textit{G. Di Maio} et al., Quest. Answers Gen. Topology 25, No. 1, 23--43 (2007; Zbl 1126.54007)
Di Concilio, A. Group action on zero-dimensional spaces. (English) Zbl 1118.54011 Topology Appl. 154, No. 10, 2050-2055 (2007). Reviewer: David B. Gauld (Auckland) MSC: 54C35 57S05 54H99 PDF BibTeX XML Cite \textit{A. Di Concilio}, Topology Appl. 154, No. 10, 2050--2055 (2007; Zbl 1118.54011) Full Text: DOI
Bouchair, A.; Kelaiaia, S. \(\alpha\)-favorability of \(C(X)\) with a set open topology. II. (English) Zbl 1111.54016 Far East J. Math. Sci. (FJMS) 22, No. 2, 175-184 (2006). Reviewer: Akihiro Okuyama (Kobe) MSC: 54C35 91A44 PDF BibTeX XML Cite \textit{A. Bouchair} and \textit{S. Kelaiaia}, Far East J. Math. Sci. (FJMS) 22, No. 2, 175--184 (2006; Zbl 1111.54016)
Otmani, S.; Kelaiaia, S. Character netweight and weight of \(C(X)\) equipped with a set-open topology. (English) Zbl 1101.54019 Far East J. Math. Sci. (FJMS) 20, No. 3, 347-356 (2006). Reviewer: Tamas Matrai (Karlsruhe) MSC: 54C35 54A25 PDF BibTeX XML Cite \textit{S. Otmani} and \textit{S. Kelaiaia}, Far East J. Math. Sci. (FJMS) 20, No. 3, 347--356 (2006; Zbl 1101.54019)
Di Maio, Giuseppe; Maccariello, Enrico; Naimpally, S. A. Hyper-continuous convergence in functions spaces. II. (English) Zbl 1387.54012 Ric. Mat. 54, No. 1, 245-254 (2005). MSC: 54C35 54B20 54E05 54E15 54A20 PDF BibTeX XML Cite \textit{G. Di Maio} et al., Ric. Mat. 54, No. 1, 245--254 (2005; Zbl 1387.54012)
Bouchair, A.; Kelaiaia, S. \(\alpha\)-favorability of \(C(X)\) with a set-open topology. (English) Zbl 1102.54016 Far East J. Math. Sci. (FJMS) 18, No. 3, 305-312 (2005). Reviewer: Akihiro Okuyama (Kobe) MSC: 54C35 PDF BibTeX XML Cite \textit{A. Bouchair} and \textit{S. Kelaiaia}, Far East J. Math. Sci. (FJMS) 18, No. 3, 305--312 (2005; Zbl 1102.54016)
Di Maio, Giuseppe; Meccariello, Enrico; Naimpally, Somashekhar Hyper-continuous convergence in function spaces. (English) Zbl 1066.54019 Quest. Answers Gen. Topology 22, No. 2, 157-162 (2004). MSC: 54C35 54B20 54E05 54E15 54A20 PDF BibTeX XML Cite \textit{G. Di Maio} et al., Quest. Answers Gen. Topology 22, No. 2, 157--162 (2004; Zbl 1066.54019)
Bartsch, René On a nice embedding and the Ascoli theorem. (English) Zbl 1058.54007 N. Z. J. Math. 33, No. 1, 25-39 (2004). Reviewer: Akihiro Okuyama (Kobe) MSC: 54C35 54D30 54C05 54C25 54C60 54B20 54A20 46E10 PDF BibTeX XML Cite \textit{R. Bartsch}, N. Z. J. Math. 33, No. 1, 25--39 (2004; Zbl 1058.54007)
Kelaiaia, Smail On a completeness property of \(C(X)\). (English) Zbl 1027.54024 Int. J. Appl. Math. 6, No. 3, 287-291 (2001). MSC: 54C35 54E52 PDF BibTeX XML Cite \textit{S. Kelaiaia}, Int. J. Appl. Math. 6, No. 3, 287--291 (2001; Zbl 1027.54024)
Di Concilio, Anna; Naimpally, Som Proximal set-open topologies. (English) Zbl 0942.54012 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 3, No. 1, 173-191 (2000). Reviewer: Robert A.McCoy (Blacksburg) MSC: 54C35 54E05 PDF BibTeX XML Cite \textit{A. Di Concilio} and \textit{S. Naimpally}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 3, No. 1, 173--191 (2000; Zbl 0942.54012) Full Text: EuDML
Naimpally, Somashekhar A brief survey of topologies on function spaces. (English) Zbl 0961.54015 Di Maio, Giuseppe (ed.) et al., Recent progress in function spaces. Rome: Aracne. Quad. Mat. 3, 259-283 (1998). Reviewer: L.Holá (Bratislava) MSC: 54C35 54B20 54E05 54E15 54E17 PDF BibTeX XML Cite \textit{S. Naimpally}, Quad. Mat. 3, 259--283 (1998; Zbl 0961.54015)
Di Concilio, Anna; Naimpally, Somashekhar Function space topologies on (partial) maps. (English) Zbl 0963.54007 Di Maio, Giuseppe (ed.) et al., Recent progress in function spaces. Rome: Aracne. Quad. Mat. 3, 1-34 (1998). Reviewer: L.Holá (Bratislava) MSC: 54C35 54E05 54B20 54C40 54E15 54E35 PDF BibTeX XML Cite \textit{A. Di Concilio} and \textit{S. Naimpally}, Quad. Mat. 3, 1--34 (1998; Zbl 0963.54007)
Porter, Kathryn F. Some equivalent topologies on homeomorphism groups. (English) Zbl 0946.54031 Topol. Proc. 22(Summer), 373-383 (1997). MSC: 54H15 54E15 57S05 54C35 PDF BibTeX XML Cite \textit{K. F. Porter}, Topol. Proc. 22(Summer), 373--383 (1997; Zbl 0946.54031)
Al’perin, M. I.; Nokhrin, S. È. Topologies on spaces of continuous functions and some embeddings. (Russian. English summary) Zbl 0874.54011 Tr. Inst. Mat. Mekh. (Ekaterinburg) 3, 65-73 (1995). Reviewer: L’ubica Holá (Bratislava) MSC: 54C35 PDF BibTeX XML Cite \textit{M. I. Al'perin} and \textit{S. È. Nokhrin}, Tr. Inst. Mat. Mekh. (Ekaterinburg) 3, 65--73 (1995; Zbl 0874.54011)
Pasicki, Lech On function spaces. (English) Zbl 0694.54014 Zesz. Nauk. Akad. Górn.-Hutn. Stanisł. Staszica 1154, Opusc. Math. 4, 227-243 (1988). Reviewer: R.A.McCoy MSC: 54C35 54E15 PDF BibTeX XML Cite \textit{L. Pasicki}, Zesz. Nauk. Akad. Górn.-Hutn. Stanisł. Staszica, Opusc. Math. 1154(4), 227--243 (1988; Zbl 0694.54014)
Papadopoulos, Basil K. The topology of quasi uniform convergence on the set C(Y,Z) of continuous maps. (English) Zbl 0656.54010 Topology, 3rd Natl. Meet., Trieste/Itlay 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 18, 381-390 (1988). Reviewer: C.R.Borges MSC: 54C35 54E15 PDF BibTeX XML Cite \textit{B. K. Papadopoulos}, Suppl. Rend. Circ. Mat. Palermo (2) 18, 381--390 (1988; Zbl 0656.54010)
McCoy, Robert A.; Ntantu, Ibula Topological properties of spaces of continuous functions. (English) Zbl 0647.54001 Lecture Notes in Mathematics, 1315. Berlin etc.: Springer-Verlag. iv, 124 p. (1988). Reviewer: J.V.Whittaker MSC: 54-02 54C35 54A25 54E52 PDF BibTeX XML Cite \textit{R. A. McCoy} and \textit{I. Ntantu}, Topological properties of spaces of continuous functions. Berlin etc.: Springer-Verlag (1988; Zbl 0647.54001)
McCoy, R. A.; Ntantu, I. Countability properties of function spaces with set-open topologies. (English) Zbl 0619.54010 Topology Proc. 10, No. 2, 329-345 (1985). Reviewer: J.V.Whittaker MSC: 54C35 54E35 54D65 91A24 PDF BibTeX XML Cite \textit{R. A. McCoy} and \textit{I. Ntantu}, Topol. Proc. 10, No. 2, 329--345 (1985; Zbl 0619.54010)