메뉴 건너뛰기




Volumn 159, Issue 9, 2012, Pages 2476-2482

Report on the open problems session

(1)  Lukács, Gábor a  

a NONE

Author keywords

D space; Duality theory; Homeomorphism group; Hyperextension; Minimal group; Permutation group; Quasi convex; Reflexive; Subreflexive

Indexed keywords


EID: 84860820944     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2012.04.009     Document Type: Article
Times cited : (10)

References (53)
  • 1
    • 2942657550 scopus 로고    scopus 로고
    • D-spaces and finite unions
    • (electronic)
    • Arhangel'skii A. D-spaces and finite unions. Proc. Amer. Math. Soc. 2004, 132(7):2163-2170. (electronic).
    • (2004) Proc. Amer. Math. Soc. , vol.132 , Issue.7 , pp. 2163-2170
    • Arhangel'skii, A.1
  • 3
    • 0039018632 scopus 로고
    • Topological homogeneity. Topological groups and their continuous images
    • 287
    • Arkhangel'skiǐ A.V. Topological homogeneity. Topological groups and their continuous images. Uspekhi Mat. Nauk 1987, 42(2(254)):69-105. 287.
    • (1987) Uspekhi Mat. Nauk , vol.42 , Issue.2-254 , pp. 69-105
    • Arkhangel'skiǐ, A.V.1
  • 4
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups
    • Außenhofer L. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. Dissertationes Math. (Rozprawy Mat.) 1999, 384:113.
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384 , pp. 113
    • Außenhofer, L.1
  • 6
    • 84860830231 scopus 로고    scopus 로고
    • Algebraically determined topologies on permutation groups
    • Banakh T., Guran I., Protasov I. Algebraically determined topologies on permutation groups. Topology Appl. 2012, 159(9):2258-2268.
    • (2012) Topology Appl. , vol.159 , Issue.9 , pp. 2258-2268
    • Banakh, T.1    Guran, I.2    Protasov, I.3
  • 7
    • 0003208315 scopus 로고
    • Additive Subgroups of Topological Vector Spaces
    • Springer-Verlag, Berlin
    • Banaszczyk W. Additive Subgroups of Topological Vector Spaces. Lecture Notes in Math. 1991, vol. 1466. Springer-Verlag, Berlin.
    • (1991) Lecture Notes in Math. , vol.1466
    • Banaszczyk, W.1
  • 8
    • 0038307388 scopus 로고    scopus 로고
    • Answer to Raczkowski's questions on convergent sequences of integers
    • Barbieri G., Dikranjan D., Milan C., Weber H. Answer to Raczkowski's questions on convergent sequences of integers. Topology Appl. 2003, 132(1):89-101.
    • (2003) Topology Appl. , vol.132 , Issue.1 , pp. 89-101
    • Barbieri, G.1    Dikranjan, D.2    Milan, C.3    Weber, H.4
  • 9
    • 33947168093 scopus 로고    scopus 로고
    • The eightfold path to nonstandard analysis
    • Assoc. Symbol. Logic, La Jolla, CA, Nonstandard Methods and Applications in Mathematics
    • Benci V., Forti M., Di Nasso M. The eightfold path to nonstandard analysis. Lect. Notes Log. 2006, vol. 25:3-44. Assoc. Symbol. Logic, La Jolla, CA.
    • (2006) Lect. Notes Log. , vol.25 , pp. 3-44
    • Benci, V.1    Forti, M.2    Di Nasso, M.3
  • 11
    • 0039679783 scopus 로고    scopus 로고
    • Some properties of locally quasi-convex groups
    • Proceedings of the First Ibero-American Conference on Topology and Its Applications
    • Bruguera M.M. Some properties of locally quasi-convex groups. Topology Appl. 1997, 77:87-94.
    • (1997) Topology Appl. , vol.77 , pp. 87-94
    • Bruguera, M.M.1
  • 12
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco M.J. Pontryagin duality for metrizable groups. Arch. Math. (Basel) 1998, 70(1):22-28.
    • (1998) Arch. Math. (Basel) , vol.70 , Issue.1 , pp. 22-28
    • Chasco, M.J.1
  • 13
    • 52449090170 scopus 로고    scopus 로고
    • An approach to duality on abelian precompact groups
    • Chasco M.J., Martín-Peinador E. An approach to duality on abelian precompact groups. J. Group Theory 2008, 11(5):635-643.
    • (2008) J. Group Theory , vol.11 , Issue.5 , pp. 635-643
    • Chasco, M.J.1    Martín-Peinador, E.2
  • 17
    • 15244352093 scopus 로고    scopus 로고
    • Topological and nonstandard extensions
    • Di Nasso M., Forti M. Topological and nonstandard extensions. Monatsh. Math. 2005, 144(2):89-112.
    • (2005) Monatsh. Math. , vol.144 , Issue.2 , pp. 89-112
    • Di Nasso, M.1    Forti, M.2
  • 18
    • 33744749851 scopus 로고    scopus 로고
    • Hausdorff ultrafilters
    • (electronic)
    • Di Nasso M., Forti M. Hausdorff ultrafilters. Proc. Amer. Math. Soc. 2006, 134(6):1809-1818. (electronic).
    • (2006) Proc. Amer. Math. Soc. , vol.134 , Issue.6 , pp. 1809-1818
    • Di Nasso, M.1    Forti, M.2
  • 19
    • 0000130578 scopus 로고
    • Un exemple d'un groupe topologique Q-minimal mais non précompact
    • Dierolf S., Schwanengel U. Un exemple d'un groupe topologique Q-minimal mais non précompact. Bull. Sci. Math. (2) 1977, 101(3):265-269.
    • (1977) Bull. Sci. Math. (2) , vol.101 , Issue.3 , pp. 265-269
    • Dierolf, S.1    Schwanengel, U.2
  • 20
    • 30344443623 scopus 로고    scopus 로고
    • On homeomorphism groups and the compact-open topology
    • Dijkstra J.J. On homeomorphism groups and the compact-open topology. Amer. Math. Monthly 2005, 112(10):910-912.
    • (2005) Amer. Math. Monthly , vol.112 , Issue.10 , pp. 910-912
    • Dijkstra, J.J.1
  • 21
    • 84881364934 scopus 로고    scopus 로고
    • On the homeomorphism groups of Brechner's continua
    • in press.
    • J.J. Dijkstra, J. Hickmann, On the homeomorphism groups of Brechner's continua, Houston J. Math., in press.
    • Houston J. Math.
    • Dijkstra, J.J.1    Hickmann, J.2
  • 22
    • 84886790431 scopus 로고    scopus 로고
    • Characterizing sequences for precompact groups
    • preprint, in preparation.
    • D. Dikranjan, S.S. Gabriyelyan, V. Tarieladze, Characterizing sequences for precompact groups, preprint, in preparation.
    • Dikranjan, D.1    Gabriyelyan, S.S.2    Tarieladze, V.3
  • 23
    • 84860818866 scopus 로고    scopus 로고
    • Group valued null sequences and metrizable non-Mackey groups
    • in press
    • D. Dikranjan, E.M. Peinador, V. Tarieladze, Group valued null sequences and metrizable non-Mackey groups, Forum Math., in press, arxiv:1012.5713.
    • Forum Math.
    • Dikranjan, D.1    Peinador, E.M.2    Tarieladze, V.3
  • 24
    • 0003343351 scopus 로고
    • Topological Groups. Characters, Dualities and Minimal Group Topologies
    • Marcel Dekker Inc., New York
    • Dikranjan D., Prodanov I.R., Stoyanov L.N. Topological Groups. Characters, Dualities and Minimal Group Topologies. Monogr. Textbooks Pure Appl. Math. 1990, vol. 130. Marcel Dekker Inc., New York.
    • (1990) Monogr. Textbooks Pure Appl. Math. , vol.130
    • Dikranjan, D.1    Prodanov, I.R.2    Stoyanov, L.N.3
  • 25
    • 84860829438 scopus 로고
    • Minimal topological groups
    • North-Holland, Amsterdam, Topics in Topology, Proc. Colloq.
    • Doïtchinov D. Minimal topological groups. Colloq. Math. Soc. János Bolyai 1974, vol. 8:213-214. North-Holland, Amsterdam.
    • (1974) Colloq. Math. Soc. János Bolyai , vol.8 , pp. 213-214
    • Doïtchinov, D.1
  • 26
    • 0031562875 scopus 로고    scopus 로고
    • Shifts on compact and discrete Lie groups: algebraic-topological invariants and classification problems
    • Fagnani F. Shifts on compact and discrete Lie groups: algebraic-topological invariants and classification problems. Adv. Math. 1997, 127(2):283-306.
    • (1997) Adv. Math. , vol.127 , Issue.2 , pp. 283-306
    • Fagnani, F.1
  • 27
    • 10644220416 scopus 로고    scopus 로고
    • The dynamics of group codes: dual abelian group codes and systems
    • Forney G.D., Trott M.D. The dynamics of group codes: dual abelian group codes and systems. IEEE Trans. Inform. Theory 2004, 50(12):2935-2965.
    • (2004) IEEE Trans. Inform. Theory , vol.50 , Issue.12 , pp. 2935-2965
    • Forney, G.D.1    Trott, M.D.2
  • 28
    • 84860811493 scopus 로고    scopus 로고
    • Leibniz's principles and topological extensions
    • preprint, , submitted for publication.
    • M. Forti, Leibniz's principles and topological extensions, preprint, , submitted for publication. arxiv:1012.4341v1.
    • Forti, M.1
  • 30
    • 77957894946 scopus 로고    scopus 로고
    • On T-sequences and characterized subgroups
    • Gabriyelyan S. On T-sequences and characterized subgroups. Topology Appl. 2010, 157(18):2834-2843.
    • (2010) Topology Appl. , vol.157 , Issue.18 , pp. 2834-2843
    • Gabriyelyan, S.1
  • 31
    • 78149352965 scopus 로고    scopus 로고
    • Reflexive group topologies on abelian groups
    • Gabriyelyan S.S. Reflexive group topologies on abelian groups. J. Group Theory 2010, 13(6):891-901.
    • (2010) J. Group Theory , vol.13 , Issue.6 , pp. 891-901
    • Gabriyelyan, S.S.1
  • 32
    • 78649445096 scopus 로고    scopus 로고
    • Pseudocompact group topologies with no infinite compact subsets
    • Galindo J., Macario S. Pseudocompact group topologies with no infinite compact subsets. J. Pure Appl. Algebra 2011, 215(4):655-663.
    • (2011) J. Pure Appl. Algebra , vol.215 , Issue.4 , pp. 655-663
    • Galindo, J.1    Macario, S.2
  • 33
    • 15944428082 scopus 로고
    • Minimality of the group Autohomeom(C)
    • Gamarnik D. Minimality of the group Autohomeom(C). Serdica 1991, 17(4):197-201.
    • (1991) Serdica , vol.17 , Issue.4 , pp. 197-201
    • Gamarnik, D.1
  • 34
    • 0038350867 scopus 로고    scopus 로고
    • Autohomeomorphism groups
    • Gartside P., Glyn A. Autohomeomorphism groups. Topology Appl. 2003, 129(2):103-110.
    • (2003) Topology Appl. , vol.129 , Issue.2 , pp. 103-110
    • Gartside, P.1    Glyn, A.2
  • 35
    • 0001678313 scopus 로고
    • Topological group structures of infinite symmetric groups
    • Gaughan E.D. Topological group structures of infinite symmetric groups. Proc. Natl. Acad. Sci. USA 1967, 58:907-910.
    • (1967) Proc. Natl. Acad. Sci. USA , vol.58 , pp. 907-910
    • Gaughan, E.D.1
  • 36
    • 0010679711 scopus 로고
    • Rigid continua and topological group-pictures
    • de Groot J., Wille R.J. Rigid continua and topological group-pictures. Arch. Math. 1958, 9:441-446.
    • (1958) Arch. Math. , vol.9 , pp. 441-446
    • de Groot, J.1    Wille, R.J.2
  • 37
    • 33744830327 scopus 로고    scopus 로고
    • A note on D-spaces
    • Gruenhage G. A note on D-spaces. Topology Appl. 2006, 153(13):2229-2240.
    • (2006) Topology Appl. , vol.153 , Issue.13 , pp. 2229-2240
    • Gruenhage, G.1
  • 39
    • 84860817813 scopus 로고    scopus 로고
    • Compact homeomorphism groups are profinite
    • Hofmann K.H., Morris S.A. Compact homeomorphism groups are profinite. Topology Appl. 2012, 159(9):2453-2462.
    • (2012) Topology Appl. , vol.159 , Issue.9 , pp. 2453-2462
    • Hofmann, K.H.1    Morris, S.A.2
  • 40
    • 84968512964 scopus 로고
    • Locally compact full homeomorphism groups are zero-dimensional
    • Keesling J. Locally compact full homeomorphism groups are zero-dimensional. Proc. Amer. Math. Soc. 1971, 29:390-396.
    • (1971) Proc. Amer. Math. Soc. , vol.29 , pp. 390-396
    • Keesling, J.1
  • 42
    • 78649635467 scopus 로고    scopus 로고
    • On finite unions and finite products with the D-property
    • Martínez J.C. On finite unions and finite products with the D-property. Topology Appl. 2011, 158(2):223-228.
    • (2011) Topology Appl. , vol.158 , Issue.2 , pp. 223-228
    • Martínez, J.C.1
  • 44
    • 44049116546 scopus 로고
    • Sierpiński's technique and subsets of R
    • Proceedings of the Symposium on General Topology and Applications
    • van Mill J. Sierpiński's technique and subsets of R. Topology Appl. 1992, 44:241-261.
    • (1992) Topology Appl. , vol.44 , pp. 241-261
    • van Mill, J.1
  • 45
    • 84860817808 scopus 로고    scopus 로고
    • Homeomorphism groups of homogeneous compacta need not be minimal
    • van Mill J. Homeomorphism groups of homogeneous compacta need not be minimal. Topology Appl. 2012, 159(9):2506-2509.
    • (2012) Topology Appl. , vol.159 , Issue.9 , pp. 2506-2509
    • van Mill, J.1
  • 46
    • 33746715495 scopus 로고
    • A solenoidal and monothetic minimally almost periodic group
    • Nienhuys J.W. A solenoidal and monothetic minimally almost periodic group. Fund. Math. 1971/1972, 73(2):167-169.
    • (1971) Fund. Math. , vol.73 , Issue.2 , pp. 167-169
    • Nienhuys, J.W.1
  • 47
    • 0242266449 scopus 로고    scopus 로고
    • About DK-like spaces and some applications
    • Peng L.-X. About DK-like spaces and some applications. Topology Appl. 2004, 135(1-3):73-85.
    • (2004) Topology Appl. , vol.135 , Issue.1-3 , pp. 73-85
    • Peng, L.-X.1
  • 48
    • 34249747938 scopus 로고    scopus 로고
    • A note on D-spaces and infinite unions
    • Peng L.-X. A note on D-spaces and infinite unions. Topology Appl. 2007, 154(11):2223-2227.
    • (2007) Topology Appl. , vol.154 , Issue.11 , pp. 2223-2227
    • Peng, L.-X.1
  • 50
    • 79955776744 scopus 로고
    • Minimal group topologies
    • North-Holland, Amsterdam, Topology, Theory and Applications
    • Prodanov I.R., Stojanov L.N. Minimal group topologies. Colloq. Math. Soc. János Bolyai 1985, vol. 41:493-508. North-Holland, Amsterdam.
    • (1985) Colloq. Math. Soc. János Bolyai , vol.41 , pp. 493-508
    • Prodanov, I.R.1    Stojanov, L.N.2
  • 51
    • 84861337046 scopus 로고    scopus 로고
    • A counterexample in the theory of D-spaces
    • in press
    • D.T. Soukup, P.J. Szeptycki, A counterexample in the theory of D-spaces, Topol. Appl. (2012), , in press, arxiv:1106.5116.
    • (2012) Topol. Appl.
    • Soukup, D.T.1    Szeptycki, P.J.2
  • 52
    • 0009988843 scopus 로고
    • Minimal topological groups
    • Stephenson R.M. Minimal topological groups. Math. Ann. 1971, 192:193-195.
    • (1971) Math. Ann. , vol.192 , pp. 193-195
    • Stephenson, R.M.1
  • 53
    • 0000725751 scopus 로고
    • A Collection of Mathematical Problems
    • Interscience Publishers, New York, London
    • Ulam S.M. A Collection of Mathematical Problems. Intersci. Tracts Pure Appl. Math. 1960, vol. 8. Interscience Publishers, New York, London.
    • (1960) Intersci. Tracts Pure Appl. Math. , vol.8
    • Ulam, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.