On applications of Bing-Krasinkiewicz-Lelek maps

• Autorzy: Matsuhashi E.
• Języki publikacji: EN

Abstrakty

EN

We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.

Słowa kluczowe

EN

Bing map; Krasinkiewicz map; Lelek map; Peano continuum; Whitney preserving map

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 3
• Strony: 219--228
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Matsuhashi E.

• Mathematics Faculty of Engineering, Yokohama National University, Yokohama, 240-8501, Japan,

Bibliografia

• [1] R. H. Bing, Higher dimensional hereditarily indecomposable continua, Trans. Amer. Math. Soc. 71 (1951), 267-273.
• [2] B. Espinoza Reyes, Whitney preserving functions, Topology Appl. 126 (2002), 351-358.
• [3] —, Whitney preserving maps onto decomposition spaces, Topology Proc. 29 (2005), 115-125.
• [4] A. Illanes and S. B. Nadler Jr., Hyperspaces: Fundamentals and Recent Advances, Pure Appl. Math. 216, Dekker, New York, 1999.
• [5] H. Kato and E. Matsuhashi, On surjective Bing maps, Bull. Polish Acad. Sci. Math. 52 (2004), 329-333.
• [6] —, —, Lelek maps and n-dimensional maps from compacta to polyhedra, Topology Appl. 153 (2006), 1241-1248.
• [7] J. Krasinkiewicz, On mappings with hereditarily indecomposable fibers, Bull. Polish Acad. Sci. Math. 44 (1996), 147-156.
• [8] —, On approximation of mappings into 1-manifolds, ibid., 431-440.
• [9] K. Kuratowski, Topology, Academic Press and PWN, 1968.
• [10] M. Levin, Bing maps and finite-dimensional maps, Fund. Math. 151 (1996), 47-52.
• [11] —, Hyperspaces and open monotone maps of hereditarily indecomposable continua Proc. Amer. Math. Soc. 125 (1997), 603-609.
• [12] —, Certain finite-dimensional maps and their application to hyperspaces, Israel J. Math. 105 (1998), 257-262.
• [13] M. Levin and W. Lewis, Some mapping theorems for extensional dimension, Israel J. Math. 133 (2003), 61-76.
• [14] E. Matsuhashi, Krasinkiewicz maps from compacta to polyhedra, Bull. Polish Acad. Sci. Math. 54 (2006), 137-146.
• [15] S. B. Nadler Jr., Continuum Theory: An Introduction, Dekker, New York, 1992
• [16] J. Song and E. D. Tymchatyn, Free spaces, Fund. Math. 163 (2000), 229-239.
• [17] H. Torunczyk, Finite-to-one restrictions of continuous functions, Fund. Math. 125 (1985), 237-249.