Hernández, Salvador; Trigos-Arrieta, F. Javier When a totally bounded group topology is the Bohr topology of a LCA group. (English) Zbl 1442.22007 Topology Appl. 259, 110-123 (2019). Reviewer: Dieter Remus (Hagen) MSC: 22B05 54H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chasco, M. J.; Domínguez, X.; Trigos-Arrieta, F. J. Some cases of preservation of the Pontryagin dual by taking dense subgroups. (English) Zbl 1235.22004 Topology Appl. 158, No. 14, 1836-1843 (2011). Reviewer: Taras Banakh (Lviv) MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Salvador; Macario, Sergio; Trigos-Arrieta, F. Javier Uncountable products of determined groups need not be determined. (English) Zbl 1156.22002 J. Math. Anal. Appl. 348, No. 2, 834-842 (2008). Reviewer: Lydia Außenhofer (Castellon) MSC: 22A05 28C10 54D30 × Cite Format Result Cite Review PDF Full Text: DOI
Comfort, W. W.; Raczkowski, S. U.; Trigos-Arrieta, F. J. Making group topologies with, and without, convergent sequences. (English) Zbl 1135.22004 Appl. Gen. Topol. 7, No. 1, 109-124 (2006). Reviewer: Taras Banakh (Lviv) MSC: 22A10 54H11 22C05 43A40 03E35 03E50 54D30 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernández, Salvador; Trigos-Arrieta, F. Javier Group duality with the topology of precompact convergence. (English) Zbl 1062.22001 J. Math. Anal. Appl. 303, No. 1, 274-287 (2005). Reviewer: Jorge Galindo (Castellon) MSC: 22A05 46A20 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Garibay Bonales, Fernando; Trigos-Arrieta, F. Javier; Vera Mendoza, Rigoberto A Mackey-Arens theorem for topological Abelian groups. (English) Zbl 1045.22001 Bol. Soc. Mat. Mex., III. Ser. 9, No. 1, 79-88 (2003). Reviewer: Xabier Dominguez (La Coruña) MSC: 22A05 43A40 46A20 × Cite Format Result Cite Review PDF
Garibay Bonales, Fernando; Trigos-Arrieta, F. Javier; Vera Mendoza, Rigoberto A characterization of Pontryagin-van Kampen duality for locally convex spaces. (English) Zbl 1017.46001 Topology Appl. 121, No. 1-2, 75-89 (2002). Reviewer: Maria Jesus Chasco (Pamplona) MSC: 46A20 22A99 46A03 46A25 54D30 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Comfort, W. W.; Hernández, S.; Remus, D.; Trigos-Arrieta, F. J. Some open questions on topological groups. (English) Zbl 1014.22004 Martín Peinador, Elena (ed.) et al., Nuclear groups and Lie groups. Selected lectures of the workshop, Madrid, Spain, September 1999. Lemgo: Heldermann Verlag. Res. Expo. Math. 24, 57-76 (2001). Reviewer: T.S.Wu (Cleveland) MSC: 22A05 × Cite Format Result Cite Review PDF
Comfort, W. W.; Hernández, Salvador; Trigos-Arrieta, F. Javier Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology. (English) Zbl 0986.22001 Topology Appl. 115, No. 2, 215-233 (2001). Reviewer: Jorge Galindo (Castellon) MSC: 22A05 22B05 54H11 54C15 20K27 20K45 × Cite Format Result Cite Review PDF Full Text: DOI
Raczkowski, S. U.; Trigos-Arrieta, F. Javier Duality of totally bounded Abelian groups. (English) Zbl 1007.22004 Bol. Soc. Mat. Mex., III. Ser. 7, No. 1, 1-12 (2001). Reviewer: Peter Flor (Graz) MSC: 22A05 22A10 22B05 54D30 54D65 54H11 03E50 × Cite Format Result Cite Review PDF
Dikranjan, Dikran; Trigos-Arrieta, F. Javier Suitable sets in some topological groups. (English) Zbl 0972.22002 J. Group Theory 3, No. 3, 293-321 (2000). Reviewer: M.Stroppel (Stuttgart) MSC: 22A05 × Cite Format Result Cite Review PDF Full Text: DOI
Tomita, Artur H.; Trigos-Arrieta, F. Javier Suitable sets in products of topological groups and in groups equipped with the Bohr topology. (English) Zbl 0913.22003 Dikranjan, Dikran (ed.) et al., Abelian groups, module theory, and topology. Proceedings in honour of Adalberto Orsatti’s 60th birthday, Padua, Italy, 1997. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 201, 389-402 (1998). Reviewer: V.Campian (Cluj-Napoca) MSC: 22A05 03E50 22A10 22B05 54D30 54D65 54H11 × Cite Format Result Cite Review PDF
Comfort, W. Wistar; Trigos-Arrieta, F. Javier Locally pseudocompact topological groups. (English) Zbl 0828.22003 Topology Appl. 62, No. 3, 263-280 (1995). Reviewer: M.G.Tkachenko (Mexico) MSC: 22A10 54H11 54C45 × Cite Format Result Cite Review PDF Full Text: DOI
Trigos-Arrieta, F. Javier Every uncountable Abelian group admits a nonnormal group topology. (English) Zbl 0856.22003 Proc. Am. Math. Soc. 122, No. 3, 907-909 (1994). Reviewer: K.H.Hofmann (Darmstadt) MSC: 22B05 54A10 54A25 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Trigos-Arrieta, F. Javier Normality and the weak topology on a locally compact Abelian group. (English) Zbl 0914.22006 Andima, Susan (ed.) et al., Papers on general topology and applications. Papers from the 8th summer conference at Queens College, New York, NY, USA, June 18–20, 1992. New York, NY: The New York Academy of Sciences. Ann. N. Y. Acad. Sci. 728, 290-295 (1994). MSC: 22B05 54A10 54H11 54A25 × Cite Format Result Cite Review PDF