메뉴 건너뛰기




Volumn 65, Issue 4, 2011, Pages 315-330

Topologies arising from metrics valued in abelian ℓ-groups

Author keywords

generalized metric; induced; lattice ordered groups; metric; partial metric; positive filter; quasimetric; strong units; valued in an group; weak units

Indexed keywords


EID: 79960032559     PISSN: 00025240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00012-011-0132-5     Document Type: Article
Times cited : (12)

References (11)
  • 1
    • 0001847686 scopus 로고
    • Domain theory
    • Abramsky, S., Gabbay, D. M., Maibaum, T. S. E. (eds.) Clarendon Press Corrected and expanded version available at
    • Abramsky, S., Jung, A.: Domain theory. In: Abramsky, S., Gabbay, D. M., Maibaum, T. S. E. (eds.) Handbook of Logic in Computer Science, 3, Clarendon Press, (1994), 1-168. Corrected and expanded version available at http://www. cs. bham. ac. uk/~axj/pub/papers/handy1. pdf.
    • (1994) In: Handbook of Logic in Computer Science , vol.3 , pp. 1-168
    • Abramsky, S.1    Jung, A.2
  • 2
    • 0003347195 scopus 로고
    • Lattice Theory
    • Colloquium Publications
    • Birkhoff, G.: Lattice Theory. Amer. Math. Soc. Colloquium Publications, vol. XXV (1967).
    • (1967) Amer. Math. Soc , vol.XXV
    • Birkhoff, G.1
  • 4
    • 84935154381 scopus 로고
    • Rings of real-valued continuous functions I
    • Hewitt E.: Rings of real-valued continuous functions I. Trans. Amer. Math. Soc. 64, 45-99 (1948).
    • (1948) Trans. Amer. Math. Soc , vol.64 , pp. 45-99
    • Hewitt, E.1
  • 5
    • 0001033015 scopus 로고
    • Intrinsic metrics for lattice ordered groups
    • Holland W. C.: Intrinsic metrics for lattice ordered groups. Algebra Universalis 19, 142-150 (1984).
    • (1984) Algebra Universalis , vol.19 , pp. 142-150
    • Holland, W.C.1
  • 6
    • 0030525172 scopus 로고    scopus 로고
    • Intrinsic metric preserving maps on partially ordered groups
    • Jasem M.: Intrinsic metric preserving maps on partially ordered groups. Algebra Universalis 36, 135-140 (1996).
    • (1996) Algebra Universalis , vol.36 , pp. 135-140
    • Jasem, M.1
  • 7
    • 84968516072 scopus 로고
    • Triangle Inequality in l-groups
    • Kalman J. A.: Triangle Inequality in l-groups. Proc. Amer Math. Soc. 11, 395 (1960).
    • (1960) Proc. Amer Math. Soc , vol.11 , pp. 395
    • Kalman, J.A.1
  • 8
    • 0003050091 scopus 로고
    • All topologies come from generalized metrics
    • Kopperman R.: All topologies come from generalized metrics. Am. Math. Monthly 95, 89-97 (1988).
    • (1988) Am. Math. Monthly , vol.95 , pp. 89-97
    • Kopperman, R.1
  • 10
    • 0028558872 scopus 로고
    • Partial metric topology
    • Itzkowitz, G., et al., (eds.), New York
    • Matthews, S.: Partial metric topology. In: Itzkowitz, G., et al., (eds.), College, 1992. Annals of the New York Academy of Sciences, vol. 728, pp. 183-197. New York Academy of Sciences, New York (1994).
    • (1994) College, 1992. Annals of the New York Academy of Sciences , vol.728 , pp. 183-197
    • Matthews, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.