Menger curves in Peano continua

• Autorzy: P. Krupski , H. Patkowska
• Języki publikacji: EN

Słowa kluczowe

EN

disjoint arcs property; Menger universal curve; Peano continuum; homogeneous continuum

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 1
• Strony: 79-86

Daty

wydano

1996

otrzymano

1994-09-27

poprawiono

1995-05-05

Twórcy

autor

P. Krupski

• Mathematical Institute, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

H. Patkowska

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] R. D. Anderson, A characterization of the universal curve and a proof of its homogeneity, Ann. of Math. 67 (1958), 33-324.
• [2] R. D. Anderson, One-dimensional continuous curves and a homogeneity theorem, ibid. 68 (1958), 1-16.
• [3] M. Bestvina, Characterizing k-dimensional universal Menger compacta, Mem. Amer. Math. Soc. 380 (1988).
• [4] A. Chigogidze, K. Kawamura and E. D. Tymchatyn, Menger manifolds, in: Continua with the Houston Problem Book, H. Cook, W. T. Ingram, K. T. Kuperberg, A. Lelek and P. Minc (eds.), Marcel Dekker, 1995, 37-88.
• [5] P. Krupski, Recent results on homogeneous curves and ANR's, Topology Proc. 16 (1991), 109-118.
• [6] P. Krupski, The disjoint arcs property for homogeneous curves, Fund. Math. 146 (1995), 159-169.
• [7] K. Kuratowski, Topology II, Academic Press, New York, and PWN-Polish Sci. Publ., Warszawa, 1968.
• [8] J. C. Mayer, L. G. Oversteegen and E. D. Tymchatyn, The Menger curve. Characterization and extension of homeomorphisms of non-locally-separating closed subsets, Dissertationes Math. (Rozprawy Mat.) 252 (1986).
• [9] G. T. Whyburn, Analytic Topology, Amer. Math. Soc. Colloq. Publ. 28, Providence, R.I., 1942.