Published: 1987 Received: December 05, 1985Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) K. Borsuk, Theory of shape, Monografie Matematyczne, 59, Polish Scientific Publishers, Warszawa, 1975. 2) K. Borsuk, On locally connected non-movable continuum, Bull. Acad. Polon. Sci., 17 (1969), 425-430. 3) W. J. Charatonik, Some counterexamples concerning Whitney levels, Bull. Acad. Polon. Sci., 31 (1983), 385-391. 4) W. J. Charatonik, Homogeneity is not a Whitney property, Proc. Amer. Math. Soc., 92 (1984), 311-312. 5) A. M. Dilks and J. T. Rogers, Jr., Whitney stability and contractible hyperspaces, Proc. Amer. Math. Soc., 83 (1981), 633-640. 6) J. Dydak, The Whitehead and the Smale Theorems in Shape Theory, Dissertationes Math., 156 (1979), 1-55. 7) H. Kato, Concerning hyperspaces of certain Peano continua and strong regularity of Whitney maps, Pacific J. Math., 119 (1985), 159-167. 8) H. Kato, Shape properties of Whitney maps for hyperspaces, Trans. Amer. Math. Soc., 297 (1986), 529-546. 9) H. Kato, Whitney continua of curves, Trans. Amer. Math. Soc., to appear. 10) H. Kato, Whitney continua of graphs admit all homotopy types of compact connected ANRs, Fund. Math., to appear. 11) H. Kato, Various types of Whitney maps on n-dimensional compact connected polyhedra (n≥2), Topology Appl., to appear. 12) H. Kato, On admissible Whitney maps, Colloq. Math., to appear. 13) J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc., 52 (1942), 22-36. 14) J. Krasinkiewicz, On the hyperspaces of snake-like and circle-like continua, Fund. Math., 83 (1974), 155-164. 15) J. Krasinkiewicz, On the hyperspaces of hereditarily indecomposable continua, Fund. Math., 84 (1974), 175-186. 16) J. Krasinkiewicz, Shape properties of hyperspaces, Fund. Math., 101 (1978), 79-91. 17) J. Krasinkiewicz and P. Minc, Generalized paths and pointed 1-movability, Fund. Math., 104 (1979), 141-153. 18) J. Krasinkiewicz and S. B. Nadler, Jr., Whitney properties, Fund. Math., 98 (1978), 165-180. 19) M. Lynch, Whitney levels in Cp(X) are absolute retracts, Proc. Amer. Math. Soc., 97 (1986), 748-750. 20) M. Lynch, Whitney properties for 1-dimensional continua, Bull. Acad. Polon. Sci., to appear. 21) S. Mardešic and J. Segal, Shape theory, North-Holland Mathematical Library, 1982. 22) S. B. Nadler, Jr., Locating cones and Hilbert cubes in hyperspaces, Fund. Math., 79 (1973), 233-250. 23) S. B. Nadler, Jr., Some basic connectivity properties of Whitney map inverses in C(X), Proc. Charlotte Topology Conference (University of North Carolina at Charlotte, 1974), Studies in Topology, (N. M. Stavrakas and K. R. Allen, Editors), Academic Press, New York, 1975, pp. 393-410. 24) S. B. Nadler, Jr., Hyperspaces of sets, Pure and Appl. Math., 49, Dekker, New York, 1978. 25) S. B. Nadler, Jr., Whitney-reversible properties, Fund. Math., 109 (1980), 235-248. 26) A. Petrus, Contractibility of Whitney continua in C(X), General Topology Appl., 9 (1978), 275-288. 27) J. T. Rogers, Jr., Applications of Vietoris-Begle theorem for multi-valued maps to the cohomology of hyperspaces, Michigan Math. J., 22 (1975), 315-319. 28) J. T. Rogers, Jr., Embedding the hyperspaces of circle-like plane continua, Proc. Amer. Math, Soc., 29 (1971), 165-168. 29) J. T. Rogers, Jr., Whitney continua in the hyperspace C(X), Pacific J. Math., 58 (1975), 569-584. 30) J. T. Rogers, Jr., Dimension and Whitney subcontinua of C(X), General Topology Appl., 6 (1976), 91-100. 31) J. T. Rogers, Jr., The cone=hyperspaces property, Canad. J. Math., 24 (1972), 279-285. 32) L. E. Ward, Jr., Extending Whitney maps, Pacific J. Math., 93 (1981), 465-469. 33) H. Whitney, Regular families of curves, I, Proc. Nat. Acad. Sci. U.S.A., 18(1932). 275-278. 34) H. Whitney, Regular families of curves, Annals Math., 34 (1933), 244-270.
Right : [1] K. Borsuk, Theory of shape, Monografie Matematyczne, 59, Polish Scientific Publishers, Warszawa, 1975. [2] K. Borsuk, On locally connected non-movable continuum, Bull. Acad. Polon. Sci., 17 (1969), 425-430. [3] W. J. Charatonik, Some counterexamples concerning Whitney levels, Bull. Acad. Polon. Sci., 31 (1983), 385-391. [4] W. J. Charatonik, Homogeneity is not a Whitney property, Proc. Amer. Math. Soc., 92 (1984), 311-312. [5] A. M. Dilks and J. T. Rogers, Jr., Whitney stability and contractible hyperspaces, Proc. Amer. Math. Soc., 83 (1981), 633-640. [6] J. Dydak, The Whitehead and the Smale Theorems in Shape Theory, Dissertationes Math., 156 (1979), 1-55. [7] H. Kato, Concerning hyperspaces of certain Peano continua and strong regularity of Whitney maps, Pacific J. Math., 119 (1985), 159-167. [8] H. Kato, Shape properties of Whitney maps for hyperspaces, Trans. Amer. Math. Soc., 297 (1986), 529-546. [9] H. Kato, Whitney continua of curves, Trans. Amer. Math. Soc., to appear. [10] H. Kato, Whitney continua of graphs admit all homotopy types of compact connected ANRs, Fund. Math., to appear. [11] H. Kato, Various types of Whitney maps on n-dimensional compact connected polyhedra (n≥2), Topology Appl., to appear. [12] H. Kato, On admissible Whitney maps, Colloq. Math., to appear. [13] J. L. Kelley, Hyperspaces of a continuum, Trans. Amer. Math. Soc., 52 (1942), 22-36. [14] J. Krasinkiewicz, On the hyperspaces of snake-like and circle-like continua, Fund. Math., 83 (1974), 155-164. [15] J. Krasinkiewicz, On the hyperspaces of hereditarily indecomposable continua, Fund. Math., 84 (1974), 175-186. [16] J. Krasinkiewicz, Shape properties of hyperspaces, Fund. Math., 101 (1978), 79-91. [17] J. Krasinkiewicz and P. Minc, Generalized paths and pointed 1-movability, Fund. Math., 104 (1979), 141-153. [18] J. Krasinkiewicz and S. B. Nadler, Jr., Whitney properties, Fund. Math., 98 (1978), 165-180. [19] M. Lynch, Whitney levels in Cp(X) are absolute retracts, Proc. Amer. Math. Soc., 97 (1986), 748-750. [20] M. Lynch, Whitney properties for 1-dimensional continua, Bull. Acad. Polon. Sci., to appear. [21] S. Mardešic and J. Segal, Shape theory, North-Holland Mathematical Library, 1982. [22] S. B. Nadler, Jr., Locating cones and Hilbert cubes in hyperspaces, Fund. Math., 79 (1973), 233-250. [23] S. B. Nadler, Jr., Some basic connectivity properties of Whitney map inverses in C(X), Proc. Charlotte Topology Conference (University of North Carolina at Charlotte, 1974), Studies in Topology, (N. M. Stavrakas and K. R. Allen, Editors), Academic Press, New York, 1975, pp. 393-410. [24] S. B. Nadler, Jr., Hyperspaces of sets, Pure and Appl. Math., 49, Dekker, New York, 1978. [25] S. B. Nadler, Jr., Whitney-reversible properties, Fund. Math., 109 (1980), 235-248. [26] A. Petrus, Contractibility of Whitney continua in C(X), General Topology Appl., 9 (1978), 275-288. [27] J. T. Rogers, Jr., Applications of Vietoris-Begle theorem for multi-valued maps to the cohomology of hyperspaces, Michigan Math. J., 22 (1975), 315-319. [28] J. T. Rogers, Jr., Embedding the hyperspaces of circle-like plane continua, Proc. Amer. Math, Soc., 29 (1971), 165-168. [29] J. T. Rogers, Jr., Whitney continua in the hyperspace C(X), Pacific J. Math., 58 (1975), 569-584. [30] J. T. Rogers, Jr., Dimension and Whitney subcontinua of C(X), General Topology Appl., 6 (1976), 91-100. [31] J. T. Rogers, Jr., The cone=hyperspaces property, Canad. J. Math., 24 (1972), 279-285. [32] L. E. Ward, Jr., Extending Whitney maps, Pacific J. Math., 93 (1981), 465-469. [33] H. Whitney, Regular families of curves, I, Proc. Nat. Acad. Sci. U. S. A., 18 (1932). 275-278. [34] H. Whitney, Regular families of curves, Annals Math., 34 (1933), 244-270.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -