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Volumn 259, Issue , 2019, Pages 110-123

When a totally bounded group topology is the Bohr topology of a LCA group

Author keywords

Abelian group; Bohr compactification; Hemicompactness; Locally compact group; Maximally almost periodic group; Weak topologies; Weil completion

Indexed keywords


EID: 85062802663     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2019.02.025     Document Type: Article
Times cited : (3)

References (22)
  • 1
    • 0002373276 scopus 로고
    • A topology for spaces of transformations
    • Arens, R., A topology for spaces of transformations. Ann. Math. 47 (1946), 480–495.
    • (1946) Ann. Math. , vol.47 , pp. 480-495
    • Arens, R.1
  • 2
    • 64049104305 scopus 로고    scopus 로고
    • Topological Groups and Related Structures, vol. 1
    • Atlantic Press Amsterdam-Paris
    • Arhangel'skii, A., Tkachenko, M., Topological Groups and Related Structures, vol. 1. 2008, Atlantic Press, Amsterdam-Paris.
    • (2008)
    • Arhangel'skii, A.1    Tkachenko, M.2
  • 3
    • 0001854919 scopus 로고
    • Topological groups
    • K. Kunen J.E. Vaughan Elsevier Science Publishers, B. V. Amsterdam
    • Comfort, W.W., Topological groups. Kunen, K., Vaughan, J.E., (eds.)Handbook of Set-Theoretic Topology, 1984, Elsevier Science Publishers, B. V., Amsterdam, 1143–1263.
    • (1984) Handbook of Set-Theoretic Topology , pp. 1143-1263
    • Comfort, W.W.1
  • 4
    • 0009980715 scopus 로고
    • Compact groups of Ulam-measurable cardinality: partial converses to theorems of Arhangel'skiĭ and Varopoulos
    • Comfort, W.W., Remus, D., Compact groups of Ulam-measurable cardinality: partial converses to theorems of Arhangel'skiĭ and Varopoulos. Math. Jpn. 39:2 (1994), 203–210.
    • (1994) Math. Jpn. , vol.39 , Issue.2 , pp. 203-210
    • Comfort, W.W.1    Remus, D.2
  • 5
    • 0000816928 scopus 로고
    • Topologies induced by groups of characters
    • Comfort, W.W., Ross, K.A., Topologies induced by groups of characters. Fundam. Math. 55:3 (1964), 283–291.
    • (1964) Fundam. Math. , vol.55 , Issue.3 , pp. 283-291
    • Comfort, W.W.1    Ross, K.A.2
  • 6
    • 0011575516 scopus 로고
    • The Bohr compactification, modulo a metrizable subgroup
    • Comfort, W.W., Trigos-Arrieta, F.J., Wu, T.-S., The Bohr compactification, modulo a metrizable subgroup. Fundam. Math. 143 (1993), 119–136.
    • (1993) Fundam. Math. , vol.143 , pp. 119-136
    • Comfort, W.W.1    Trigos-Arrieta, F.J.2    Wu, T.-S.3
  • 7
    • 0003798198 scopus 로고
    • General Topology
    • Heldermann Verlag Berlin
    • Engelking, Ryszard, General Topology. 1989, Heldermann Verlag, Berlin.
    • (1989)
    • Engelking, R.1
  • 8
    • 85049326319 scopus 로고    scopus 로고
    • Interpolation sets in spaces of continuous metric-valued functions
    • Ferrer, M.V., Hernández, S., Tárrega, L., Interpolation sets in spaces of continuous metric-valued functions. J. Math. Anal. Appl. 466:2 (2018), 1426–1442.
    • (2018) J. Math. Anal. Appl. , vol.466 , Issue.2 , pp. 1426-1442
    • Ferrer, M.V.1    Hernández, S.2    Tárrega, L.3
  • 9
    • 85062809957 scopus 로고    scopus 로고
    • Totally bounded group topologies that are Bohr topologies of LCA groups
    • Galindo, J., Totally bounded group topologies that are Bohr topologies of LCA groups. Topol. Proc. 28:2 (2004), 467–478.
    • (2004) Topol. Proc. , vol.28 , Issue.2 , pp. 467-478
    • Galindo, J.1
  • 10
    • 0013503172 scopus 로고    scopus 로고
    • The concept of boundedness and the Bohr compactification of a MAP Abelian group
    • Galindo, J., Hernández, S., The concept of boundedness and the Bohr compactification of a MAP Abelian group. Fundam. Math. 159 (1999), 195–218.
    • (1999) Fundam. Math. , vol.159 , pp. 195-218
    • Galindo, J.1    Hernández, S.2
  • 11
    • 84882839172 scopus 로고    scopus 로고
    • Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups
    • Elliott Pearl Elsevier Amsterdam
    • Galindo, J., Hernández, S., Wu, Ta-Sun, Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups. Pearl, Elliott, (eds.)Open Problems in Topology. II, 2007, Elsevier, Amsterdam.
    • (2007) Open Problems in Topology. II
    • Galindo, J.1    Hernández, S.2    Wu, T.-S.3
  • 12
    • 0001535687 scopus 로고
    • Uniform boundedness for groups
    • Glicksberg, I., Uniform boundedness for groups. Can. J. Math. 14 (1962), 269–276.
    • (1962) Can. J. Math. , vol.14 , pp. 269-276
    • Glicksberg, I.1
  • 13
    • 0002079971 scopus 로고    scopus 로고
    • The Dimension of an LCA group in its Bohr topology
    • Hernández, S., The Dimension of an LCA group in its Bohr topology. Topol. Appl. 86 (1998), 63–67.
    • (1998) Topol. Appl. , vol.86 , pp. 63-67
    • Hernández, S.1
  • 14
    • 12744254740 scopus 로고    scopus 로고
    • Group duality with the topology of precompact convergence
    • Hernández, S., Trigos-Arrieta, F.J., Group duality with the topology of precompact convergence. J. Math. Anal. Appl. 303 (2005), 274–287.
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 274-287
    • Hernández, S.1    Trigos-Arrieta, F.J.2
  • 15
    • 0003962321 scopus 로고
    • Abstract Harmonic Analysis: Vol. I, Structure of Topological Groups, Integration Theory, Group Representations
    • Springer New York
    • Hewitt, E., Ross, K.A., Abstract Harmonic Analysis: Vol. I, Structure of Topological Groups, Integration Theory, Group Representations. Grundlehren Math. Wiss., 1963, Springer, New York.
    • (1963) Grundlehren Math. Wiss.
    • Hewitt, E.1    Ross, K.A.2
  • 16
    • 4444338072 scopus 로고
    • Dualität lokalkompakter Gruppen
    • Springer-Verlag Berlin-Heidelberg-New York
    • Heyer, H., Dualität lokalkompakter Gruppen. 1970, Springer-Verlag, Berlin-Heidelberg-New York.
    • (1970)
    • Heyer, H.1
  • 17
    • 84968518910 scopus 로고
    • Compactness in locally compact groups
    • Hughes, R., Compactness in locally compact groups. Bull. Am. Math. Soc. 79 (1973), 122–123.
    • (1973) Bull. Am. Math. Soc. , vol.79 , pp. 122-123
    • Hughes, R.1
  • 18
    • 0000067766 scopus 로고
    • k-Groups and duality
    • Noble, N., k-Groups and duality. Trans. Am. Math. Soc. 151 (1970), 551–561.
    • (1970) Trans. Am. Math. Soc. , vol.151 , pp. 551-561
    • Noble, N.1
  • 20
    • 0003356198 scopus 로고
    • On sequential convergence in groups
    • Reid, G.A., On sequential convergence in groups. Math. Z. 102 (1967), 225–235.
    • (1967) Math. Z. , vol.102 , pp. 225-235
    • Reid, G.A.1
  • 21
    • 0037658200 scopus 로고
    • Pseudocompactness on Groups
    • Ph.D. thesis Wesleyan University
    • Trigos-Arrieta, Francisco Javier, Pseudocompactness on Groups. Ph.D. thesis, 1991, Wesleyan University.
    • (1991)
    • Trigos-Arrieta, F.J.1
  • 22
    • 84971124116 scopus 로고
    • A theorem on the continuity of homomorphisms of locally compact groups
    • Varopoulos, N.Th., A theorem on the continuity of homomorphisms of locally compact groups. Proc. Camb. Philol. Soc. 60 (1964), 449–463.
    • (1964) Proc. Camb. Philol. Soc. , vol.60 , pp. 449-463
    • Varopoulos, N.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.