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Volumn 108, Issue 2, 2014, Pages 1035-1054

Mackey hyperplanes/enlargements for Tweddle's space

Author keywords

Countable enlargements; Mackey topology; Maximal almost disjoint family; Small cardinals; The Cascales and Orihuela class; Tightness; Weak barrelledness

Indexed keywords

COUNTABLE ENLARGEMENT; MACKEY TOPOLOGY; MAXIMAL ALMOST DISJOINT FAMILY; NATURAL NUMBER; PROPERTY; SEQUENCE SPACE; SMALL CARDINAL; THE CASCALE AND ORIHUELUM CLASS; TIGHTNESS; WEAK BARRELLEDNESS;

EID: 84906696490     PISSN: 15787303     EISSN: 15791505     Source Type: Journal    
DOI: 10.1007/s13398-013-0159-x     Document Type: Article
Times cited : (5)

References (48)
  • 2
    • 25644459476 scopus 로고
    • Dense hyperplanes of first category
    • Arias de Reyna, J.: Dense hyperplanes of first category. Math. Ann. 249, 111-114 (1980).
    • (1980) Math. Ann. , vol.249 , pp. 111-114
    • Arias de Reyna, J.1
  • 3
    • 0009798206 scopus 로고
    • On K-analytic locally convex spaces
    • Cascales, B.: On K-analytic locally convex spaces. Arch. Math. 40, 232-344 (1987).
    • (1987) Arch. Math. , vol.40 , pp. 232-344
    • Cascales, B.1
  • 4
    • 0008988848 scopus 로고
    • Barrelledness and the supremum of two locally convex topologies
    • De Wilde, M., Tsirulnikov, B.: Barrelledness and the supremum of two locally convex topologies. Math. Ann. 246, 241-248 (1980).
    • (1980) Math. Ann. , vol.246 , pp. 241-248
    • De Wilde, M.1    Tsirulnikov, B.2
  • 5
    • 0012541686 scopus 로고
    • Sur les propriétés de permanence de certains espaces vectoriels topologiques
    • Dieudonné, J.: Sur les propriétés de permanence de certains espaces vectoriels topologiques. Ann. Polon. Math. 25, 50-55 (1952).
    • (1952) Ann. Polon. Math. , vol.25 , pp. 50-55
    • Dieudonné, J.1
  • 6
    • 0002920988 scopus 로고
    • The integers and topology
    • In: Kunen, K., Vaughan, J. E. (eds.), North-Holland, Amsterdam-New York-Oxford-Tokyo
    • van Douwen, E. K.: The integers and topology. In: Kunen, K., Vaughan, J. E. (eds.) Handbook of set-theoretic topology. North-Holland, Amsterdam-New York-Oxford-Tokyo (1984).
    • (1984) Handbook of set-theoretic topology
    • van Douwen, E.K.1
  • 11
    • 0008978614 scopus 로고
    • Two new classes of locally convex spaces
    • Husain, T.: Two new classes of locally convex spaces. Math. Ann. 166, 289-299 (1966).
    • (1966) Math. Ann. , vol.166 , pp. 289-299
    • Husain, T.1
  • 12
    • 0034216135 scopus 로고    scopus 로고
    • The semi-Baire-like three-space problems
    • Ka{ogonek}kol, J., Saxon, S. A.: The semi-Baire-like three-space problems. Adv. Appl. Math. 25, 57-64 (2000).
    • (2000) Adv. Appl. Math. , vol.25 , pp. 57-64
    • Kakol, J.1    Saxon, S.A.2
  • 13
    • 2442653860 scopus 로고    scopus 로고
    • Pseudocompact spaces X and df-spaces CcX
    • Ka̧kol, J., Saxon, S. A., Todd, A. R.: Pseudocompact spaces X and df-spaces CcX. Proc. Am. Math. Soc. 132, 1703-1712 (2004).
    • (2004) Proc. Am. Math. Soc. , vol.132 , pp. 1703-1712
    • Ka̧kol, J.1    Saxon, S.A.2    Todd, A.R.3
  • 15
    • 0038595198 scopus 로고
    • Some examples in linear topological spaces
    • Kōmura, Y.: Some examples in linear topological spaces. Math. Ann. 153, 150-162 (1964).
    • (1964) Math. Ann. , vol.153 , pp. 150-162
    • Komura, Y.1
  • 16
    • 84968512214 scopus 로고
    • A note on the inheritance of properties of locally spaces by subspaces of countable codimension
    • Levin, M., Saxon, S.: A note on the inheritance of properties of locally spaces by subspaces of countable codimension. Proc. Am. Math. Soc. 29, 97-102 (1971).
    • (1971) Proc. Am. Math. Soc. , vol.29 , pp. 97-102
    • Levin, M.1    Saxon, S.2
  • 17
    • 53149091104 scopus 로고
    • Über die Dimensione linearer Räume
    • Löwig, H.: Über die Dimensione linearer Räume. Studia Math. 5, 18-23 (1934).
    • (1934) Studia Math. , vol.5 , pp. 18-23
    • Löwig, H.1
  • 18
    • 84972535490 scopus 로고
    • Functional representation of topological algebras
    • Morris, P. D., Wulbert, D. E.: Functional representation of topological algebras. Pac. J. Math. 22, 323-337 (1967).
    • (1967) Pac. J. Math. , vol.22 , pp. 323-337
    • Morris, P.D.1    Wulbert, D.E.2
  • 22
    • 0002047559 scopus 로고
    • On the three-space problem for topological vector spaces
    • Roelcke, W., Dierolf, S.: On the three-space problem for topological vector spaces. Collect. Math. 32, 3-25 (1981).
    • (1981) Collect. Math. , vol.32 , pp. 3-25
    • Roelcke, W.1    Dierolf, S.2
  • 23
    • 38249010182 scopus 로고
    • Non-Baire hyperplanes in non-separable Baire spaces
    • Saxon, S. A.: Non-Baire hyperplanes in non-separable Baire spaces. J. Math. Anal. Appl. 168, 460-468 (1992).
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 460-468
    • Saxon, S.A.1
  • 24
    • 0012598599 scopus 로고    scopus 로고
    • Metrizable barrelled countable enlargements
    • Saxon, S. A.: Metrizable barrelled countable enlargements. Bull. Lond. Math. Soc. 31, 711-718 (1999).
    • (1999) Bull. Lond. Math. Soc. , vol.31 , pp. 711-718
    • Saxon, S.A.1
  • 25
    • 18044397889 scopus 로고
    • The codensity character of topological vector spaces
    • In: Lau, A. T. M., Tweddle, I. (eds.), Longman, Essex
    • Saxon, S. A.: The codensity character of topological vector spaces. In: Lau, A. T. M., Tweddle, I. (eds.) Topological vector spaces, algebras and related areas. PRNM 316, Longman, Essex (1994).
    • (1994) Topological vector spaces, algebras and related areas. PRNM 316
    • Saxon, S.A.1
  • 26
    • 0002095433 scopus 로고
    • Every countable-codimensional subspace of a barrelled space is barrelled
    • Saxon, S., Levin, M.: Every countable-codimensional subspace of a barrelled space is barrelled. Proc. Am. Math. Soc. 29, 91-96 (1971).
    • (1971) Proc. Am. Math. Soc. , vol.29 , pp. 91-96
    • Saxon, S.1    Levin, M.2
  • 27
    • 0000353012 scopus 로고
    • Dense barrelled subspaces of uncountable codimension
    • Saxon, S. A., Robertson, W. J.: Dense barrelled subspaces of uncountable codimension. Proc. Am. Math Soc. 107, 1021-1029 (1989).
    • (1989) Proc. Am. Math Soc. , vol.107 , pp. 1021-1029
    • Saxon, S.A.1    Robertson, W.J.2
  • 28
    • 0030074558 scopus 로고    scopus 로고
    • Optimal cardinals for metrizable barrelled spaces
    • Saxon, S. A., Sánchez Ruiz, L. M.: Optimal cardinals for metrizable barrelled spaces. J. Lond. Math. Soc. 53, 158-166 (1996).
    • (1996) J. Lond. Math. Soc. , vol.53 , pp. 158-166
    • Saxon, S.A.1    Sánchez Ruiz, L.M.2
  • 29
    • 0030295727 scopus 로고    scopus 로고
    • Barrelled countable enlargements and the dominating cardinal
    • Saxon, S. A., Sánchez Ruiz, L. M.: Barrelled countable enlargements and the dominating cardinal. J. Math. Anal. Appl. 203, 677-685 (1996).
    • (1996) J. Math. Anal. Appl. , vol.203 , pp. 677-685
    • Saxon, S.A.1    Sánchez Ruiz, L.M.2
  • 36
    • 84974307782 scopus 로고
    • The fit and flat components of barrelled spaces
    • Saxon, S. A., Tweddle, I.: The fit and flat components of barrelled spaces. Bull. Aust. Math. Soc. 51, 521-528 (1995).
    • (1995) Bull. Aust. Math. Soc. , vol.51 , pp. 521-528
    • Saxon, S.A.1    Tweddle, I.2
  • 38
    • 0000494965 scopus 로고
    • Families of sets and functions
    • Solomon, R. C.: Families of sets and functions. Czech. Math. J. 27, 556-559 (1977).
    • (1977) Czech. Math. J. , vol.27 , pp. 556-559
    • Solomon, R.C.1
  • 39
    • 0002368030 scopus 로고
    • A property of locally convex Baire spaces
    • Todd, A. R., Saxon, S. A.: A property of locally convex Baire spaces. Math. Ann. 206, 23-34 (1973).
    • (1973) Math. Ann. , vol.206 , pp. 23-34
    • Todd, A.R.1    Saxon, S.A.2
  • 40
    • 0012491928 scopus 로고
    • On conservation of barrelledness properties in locally convex spaces
    • Tsirulnikov, B.: On conservation of barrelledness properties in locally convex spaces. Bull. Soc. R. Sci. Liège 49, 5-20 (1980).
    • (1980) Bull. Soc. R. Sci. Liège , vol.49 , pp. 5-20
    • Tsirulnikov, B.1
  • 41
    • 84906701028 scopus 로고    scopus 로고
    • A class of topologies on the space of bounded sequences and associated spaces of continuous functions
    • Tweddle, I.: A class of topologies on the space of bounded sequences and associated spaces of continuous functions. India J. Math. 50, 99-114 (2008).
    • (2008) India J. Math. , vol.50 , pp. 99-114
    • Tweddle, I.1
  • 43
    • 0001829950 scopus 로고
    • On the stability of barrelled topologies II
    • Tweddle, I., Yeomans, F. E.: On the stability of barrelled topologies II. Glasgow Math. J. 21, 91-95 (1980).
    • (1980) Glasgow Math. J. , vol.21 , pp. 91-95
    • Tweddle, I.1    Yeomans, F.E.2
  • 44
    • 84972488023 scopus 로고
    • The topology of compact convergence in continuous function spaces
    • Warner, S.: The topology of compact convergence in continuous function spaces. Duke Math. J. 25, 265-282 (1958).
    • (1958) Duke Math. J. , vol.25 , pp. 265-282
    • Warner, S.1
  • 45
    • 0012491445 scopus 로고
    • A hereditary property in locally convex spaces
    • Valdivia, M.: A hereditary property in locally convex spaces. Ann. Inst. Fourier 21, 1-2 (1971).
    • (1971) Ann. Inst. Fourier , vol.21 , pp. 1-2
    • Valdivia, M.1
  • 46
    • 0002171533 scopus 로고
    • Absolutely convex sets in barrelled spaces
    • Valdivia, M.: Absolutely convex sets in barrelled spaces. Ann. Inst. Fourier 21, 3-13 (1971).
    • (1971) Ann. Inst. Fourier , vol.21 , pp. 3-13
    • Valdivia, M.1
  • 47
    • 84906701325 scopus 로고
    • On subspaces of countable codimension of a locally convex space
    • Valdivia, M.: On subspaces of countable codimension of a locally convex space. J. Reine Angew. Math. 256, 185-189 (1972).
    • (1972) J. Reine Angew. Math. , vol.256 , pp. 185-189
    • Valdivia, M.1
  • 48
    • 84931154962 scopus 로고
    • On Mackey spaces
    • Valdivia, M.: On Mackey spaces. Duke Math. J. 41, 57-66 (1974).
    • (1974) Duke Math. J. , vol.41 , pp. 57-66
    • Valdivia, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.