SA J 最近の更新履歴 KSakaiIDTopology

出 版 目 録

書 籍

• Geometric aspects of general topology. Springer Monographs in Mathematics. Tokyo, 2013: Springer (ISBN 978-4-431-54396-1/hbk; 978-4-431-54397-8/ebook). xv, 521 p.

論 文 [Refereed]

91. Koshino, K., Sakai, K. and Yang, H., A function space from a compact metrizable space to a dendrite with the hypo-graph topology, Central Euro. J. Math. (to appear). 90. Koshino, K. and Sakai, K., A Hilbert cube compactification of a function space from a Peano space into a one-dimensional locally compact absolute retract, Topology Appl. 161 (2014), 37-57.

89. Banakh, T., Mine, K., Sakai, K. and Yagasaki, T., On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology, Topology Appl. 164 (2014), 170-181.

88. Banakh, T., Sakai, K. and Hetman, I., Recognizing the topology of the space of closed convex subsets of a Banach space, Stud. Math. 216 (2013), 17–33.

87. Banakh, T., Mine, K., Repovˇs, D., Sakai, K. and Yagasaki, T., Detecting topological groups which are (locally) homeomorphic to LF-spaces, Topology Appl. 160 (2013), 2272–2284.

86. Sakai, K. and Yang, H., The box topology of infinite simplicial complexes, Tsukuba J. Math. 36 (2012), 295–309.

85. Mine, K. and Sakai, K., Subdivision of simplicial complexes preserving the metric topology, Canad. Math. Bull. 54 (2012), 157–163.

84. Sakai, K., Correcting Taylor’s cell-like map, Glasnik Mat., Ser. III 46 (2011), 483– 487.

83. Sakai, K., Small subdivision of simplicial complexes with the metric topology, J. Math. Soc. Japan, 63 (2011), 789–800.

82. Mine, K., Sakai, K., Yagasaki, T. and Yamashita, A., Topological type of the group of uniform homeomorphisms of the real line, Topology Appl. 158 (2011), 572–581. 81. Mine, K. and Sakai, K., Simplicial complexes and open subsets of non-separable

LF-spaces, Canad. J. Math. 63 (2011), 436–459.

80. Banakh, T., Mine, K., Sakai, K. and Yagasaki, T., Homeomorphism and diffeomor- phism groups of non-compact manifolds with the Whitney topology, Topology Proc. 37(2011), 61–93.

79. Banakh, T., Mine, K., Sakai, K. and Yagasaki, T., Spaces of continuous maps from non-compact spaces into topological groups with the Whitney topology, Topology Appl. 157 (2010), 1110–1117.

78. Kogasaka, A. and Sakai, K., A Hilbert cube compactification of the function space with the compact-open topology, Central European J. Math. 7 (2009), 670–682. 77. Banakh, T., Mine, K. and Sakai, K., Topological classification of homeomorphism

groups of infinite graphs, Topology Appl. 156 (2009), 2845–2869.

76. Mine, K. and Sakai, K., Open subsets of LF-spaces, Bull. Polish Acad. Sci., Math. 56(2008), 25–37.

75. Sakai, K., The spaces of compact convex sets and bounded closed convex sets in a Banach space, Houston J. Math. 34 (2008), 289–300.

74. Kubi´s, W. and Sakai, K., Hausdorff hyperspaces of Rⁿ and their dense subspaces, J. Math. Soc. Japan 60 (2008), 193–217.

73. Sakai, K. and Yang, Z., Hyperspaces of closed convex sets in Euclidean spaces with the Fell topology, Bull. Polish Acad. Sci., Math. 55 (2007), 139–143.

72. Sakai, K. and Yaguchi, M., The AR-property of the space of closed convex sets, Colloq. Math. 106 (2006), 15–24.

71. Sakai, K. and Uehara, S., Topological structure of the space of lower semi-continuous functions, Comment. Math. Univ. Carolinae 47 (2006), 113–126.

70. Mine, K., Sakai, K. and Yaguchi, M., Hyperspaces of finite sets in universal spaces for absolute Borel classes, Bull. Polish Acad. Sci., Math. 53 (2005), 409–419. 69. Kurihara, M., Sakai, K. and Yaguchi, M., Hyperspaces with the Hausdorff metric

and uniform ANR’s, J. Math. Soc. Japan 57 (2005), 523–535.

68. Kubi´s, W., Sakai, K. and Yaguchi, M., Hyperspaces of separable Banach spaces with the Wijsman topology, Topology Appl. 148 (2005), 7–32.

67. Sakai, K. and Yaguchi, M., Hyperspaces of Banach spaces with the Attouch-Wets topology, Set-Valued Analysis 12 (2004), 329–344.

66. Sakai, K. and Yaguchi, M., Characterizing manifolds modeled on certain dense sub- spaces of non-separable Hilbert spaces, Tsukuba J. Math. 27 (2003), 143–159.

65. Yang, Z. and Sakai, K., The space of limits of continua in the Fell topology, Houston J. Math. 29 (2003), 325–335.

64. Banakh, T., Kurihara, M. and Sakai, K., Hyperspaces of normed linear spaces with the Attouch-Wets topology, Set-Valued Analysis 11 (2003), 21–36.

63. Sakai, K. and Yang, Z., Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube, Topology Appl. 127 (2002), 331–342.

62. Iwamoto, Y and Sakai, K., Strong n-shape theory, Topology Appl. 122 (2002), 253– 267.

61. Sakai, K., An alternative proof of Cauty-Geoghegan’s chatacterization of ANR’s, To- pology Appl. 122 (2002), 407–414.

60. Banakh, T., Kawamura, K. and Sakai, K., The direct limits of the Banach-Mazur compacta, Bull. London Math. Soc. 32 (2000), 709–717.

59. Sakai, K., The completion of metric ANR’s and homotopy dense subsets, J. Math. Soc. Japan 52 (2000), 835–846.

58. Sakai, K. and Uehara, S., Spaces of upper semi-continuous multi-valued functions on separable metric spaces, Tsukuba J. Math. 24 (2000), 69–80.

57. Banakh, T. and Sakai, K., Free topological semilattices homeomorphic of R^{∞ and} Q^∞, Topology Appl. 106 (2000), 135–147.

56. Banakh, T. and Sakai, K., Characterizations of (R^∞, σ)- or (Q^∞,Σ)-manifolds and their applications, Topology Appl. 106 (2000), 115–134.

55. Sakai, K. and Uehara, S., Spaces of upper semi-continuous multi-valued functions on complete metric spaces, Fund. Math. 160 (1999), 199–218.

54. Sakai, K. and Uehara, S., A Hilbert cube compactification of the Banach space of continuous functions, Topology Appl. 92 (1999), 107–118.

53. Akaike, Y. and Sakai, K., Describing the proper n-shape category by using non- continuous functions, Glasnik Mat., Ser. III 33 (1998), 299–321.

52. Sakai, K., Proper n-shape categories, Glasnik Mat., Ser. III 33 (1998), 287–297. 51. Sakai, K. and Uehara, S., A Q-manifold compactification of the homeomorphism

group of a graph, Bull. Polish Acad. Sci., Math. 45 (1997), 281–286.

50. Sakai, K., Semi-free actions of zero-dimensional compact groups on Menger com- pacta, Proc. Amer. Math. Soc. 125 (1997), 2809–2813.

49. Akaike, Y. and Sakai, K., The complement theorem in n-shape theory for compact pairs, Glasnik Mat., Ser. III 31 (1996), 307–319.

48. Dobrowolski, T. and Sakai, K., Spaces of measures on metrizable spaces, Topology Appl. 72 (1996), 215–258.

47. Nguyen To Nhu and Sakai, K., Probability measure functors preserving infinite-di- mensional spaces, Colloq. Math. 70 (1996), 291–304.

46. Guo, B.-L. and Sakai, K., Spaces of measures on stratifiable spaces, Kobe J. Math. 12(1995), 161–173.

45. Sakai, K. and Wong, R.Y., Manifolds of Lipschitz maps, Houston J. Math. 21 (1995), 557–568.

44. Cauty, R., Guo B.-L. and Sakai, K., The hyperspace of finite subsets of a stratifiable space, Fund. Math. 147 (1995), 1–9.

43. Iwamoto, Y. and Sakai, K., A mapping theorem for Q-manifolds and µⁿ⁺¹-manifolds, Bull. Polish Acad. Sci., Math. 42 (1994), 243–250.

42. Sakai, K., All autohomeomorphisms of connected Menger manifolds are stable, Proc. Amer. Math. Soc. 122 (1994), 1289–1291.

41. Sakai, K., Free actions of zero-dimensional compact groups on Menger manifolds, Proc. Amer. Math. Soc. 122 (1994), 647–648.

40. Nguyen To Nhu and Sakai, K., The compact neighborhood extension property and local equi-connectedness, Proc. Amer. Math. Soc. 121 (1994), 259–265.

39. Sakai, K., A Q^∞-manifold topology of the space of Lipschitz maps, Topology Appl. 53(1993), 7–18.

38. Guo, B.-L. and Sakai, K., Hyperspaces of CW-complexes, Fund. Math. 143 (1993), 23–40.

37. Guo, B.-L. and Sakai, K., The join of ANR’s for stratifiable spaces, Math. Japonica 38(1993), 361–370.

36. Sakai, K., Connecting direct limit topologies with metrics on infinite-dimensional manifolds, Compositio Math. 81 (1992), 237–245; A corrigendum ibid. 102 (1996), 357.

35. Eda, K. and Sakai, K., A factor of singular homology, Tsukuba J. Math. 15 (1991), 351–387.

34. Sakai, K., The space of Lipschitz maps from a compactum to an absolute neighborhood LIP extensor, Fund. Math. 138 (1991), 27–34.

33. Sakai, K., An embedding space triple of the unit interval into a graph and its bundle structure, Proc. Amer. Math. Soc. 111 (1991), 1171–1175.

32. Sakai, K. and Wong, R.Y., Manifold subgroups of the homeomorphism group of a compact Q-manifold, Pacific J. Math. 147 (1991), 165–185.

31. Sakai, K., On hyperspaces of polyhedra, Proc. Amer. Math. Soc. 110 (1990), 1089– 1097.

30. Nguyen To Nhu, Sakai, K. and Wong, R.Y., Spaces of retractions which are homeo- morphic to Hilbert space, Fund. Math. 136 (1990), 45–52.

29. Sakai, K., A function space triple of a compact polyhedron into an open set in Eu- clidean space, Proc. Amer. Math. Soc. 108 (1990), 547–555.

28. Sakai, K. and Wong, R.Y., Infinite-dimensional manifold triples, Trans. Amer. Math. Soc. 318 (1990), 545–555.

27. Sakai, K. and Wong, R.Y., On the space of Lipschitz homeomorphisms of a compact polyhedron, Pacific J. Math. 139 (1989), 195–207.

26. Sakai, K. and Wong, R.Y., The space of Lipschitz maps from a compactum to a locally convex set, Topology Appl. 32 (1989), 223–235.

25. Sakai, K. and Wong, R.Y., Conjugating homeomorphisms to uniform homeomor- phisms, Trans. Amer. Math. Soc. 311 (1989), 337–356.

24. Sakai, K., A mapping theorem infinite-dimensional manifolds and its generalizations, Colloq. Math. 56 (1988), 319–332.

23. Sakai, K., The space of cross sections of a bundle, Proc. Amer. Math. Soc. 103 (1988), 956–960.

22. Sakai, K., Simplicial complexes triangulating infinite-dimensional manifolds, Topol- ogy Appl. 29 (1988), 167–183.

21. Sakai, K., A Q-manifold local-compactification of a metric combinatorial ∞-manifold, Proc. Amer. Math. Soc. 100 (1987), 775–780.

20. Sakai, K., The ℓ1-completion of a metric combinatorial ∞-manifold, Proc. Amer. Math. Soc. 100 (1987), 574–578.

19. Sakai, K., Completions of metric simplicial complexes by using ℓp-norms, Topology Proc. 11 (1986/1987), 177–208.

18. Sakai, K., On topologies of triangulated infinite-dimensional manifolds, J. Math. Soc. Japan 39 (1987), 287–300.

17. Sakai, K., Combinatorial infinite-dimensional manifolds and R^∞-manifolds, Topol- ogy Appl. 26 (1987), 43–64.

16. Sakai, K., Fine homotopy equivalences of simplicial complexes, Bull. Polish Acad. Sci., Math. 34 (1986), 89–97.

15. Sakai, K., On R^∞-manifolds and Q^∞-manifolds II : Infinite-deficiency, Tsukuba J. Math. 8 (1984), 101–118.

14. Sakai, K., On R^∞-manifolds and Q^∞-manifolds, Topology Appl. 18 (1984), 69–79. 13. Sakai, K., Each R^∞-manifold has a unique piecewise linear R^∞-structure, Proc.

Amer. Math. Soc. 90 (1984), 616–618.

12. Sakai, K., A characterization of local equiconnectedness, Pacific J. Math. 111 (1984), 231–241.

11. Sakai, K., Boundaries and compliments of infinite-dimensional manifolds in the model space, Topology Appl. 15 (1983), 79–91.

10. Sakai, K., Homeomorphisms of infinite-dimensional fibre bundles, Tsukuba J. Math. 6 (1982), 21–33.

9. Sakai, K., The space of retractions of a compact Q-manifold is an ℓ2-manifold, Proc. Amer. Math. Soc. 83 (1981), 421–424.

8. Sakai, K., Stability for infinite-dimensional fibre bundles, Tsukuba J. Math. 5 (1981), 85–99.

7. Sakai, K., Images of ℓ2-manifolds under approximate fibrations, Proc. Japan Acad., Ser. A 57 (1981), 260–261.

6. Sakai, K., Some properties of MAR and MANR, Tˆohoku Math. J. 30 (1978), 351– 366.

5. Sakai, K., An embedding theorem of infinite-dimensional manifold pairs in the model space, Fund. Math. 100 (1978), 83–87.

4. Sakai, K., Replacing maps by embeddings between [0, 1)-stable Q-manifold pairs, Math. Japonica 22 (1977), 93–98.

3. Sakai, K., Embeddings of infinite-dimensional manifold pairs and remarks on stability and deficiency, J. Math. Soc. Japan 29 (1977), 261–280.

2. Sakai, K., An embedding of ℓ2-manifold pairs in ℓ2, J. Math. Soc. Japan 27 (1975), 557–560.

1. Sakai, K., On embeddings of infinite-dimensional manifold pairs, Sci. Rep. Tokyo Kyˆoiku Daigaku, Sect. A 12 (1974), 202–213.

[Non-refereed]

12. Banakh, W., Mine, K., Sakai, K. and Yagasaki, T., Homeomorphism and diffeomor- phism groups of non-compact manifolds with the Whitney topology, 数理解析研究所 講究録 ¹⁶³⁴(2008), 20–29.

11. 酒井 克郎,嶺 幸太郎,多面体の距離位相と弱位相数理解析研究所講究録¹⁶³⁴(2008), 9–12.

10. Kubi´s, W. and Sakai, K., Hausdorff hyperspaces of Euclidean spaces and their dense subspaces,数理解析研究所講究録 ¹⁵³¹(2007), 63–67.

9. Sakai, K., The completions of metric ANR’s and uniform ANR’s,数理解析研究所講 究録 ¹¹²⁶(2000), 91–96.

8. Guo, B.-L. and Sakai, K., Some results and problems on ANR’s for stratifiable spaces, 数理解析研究所講究録 ⁷⁸⁴ (1992), 107–109.

7. 酒井 克郎, 無限次元トポロジーにおける写像空間に関する問題, 数理解析研究所講究 録⁶⁵⁹ (1988), 25–34.

6. Sakai, K., Infinite dimensional combinatorial topology, 数理解析研究所講究録 ⁵⁰⁹ (1984), 61–67.

5. Sakai, K., Manifolds modeled on the direct limits of Euclidean spaces and Hilbert cubes : A survey, 数理解析研究所講究録⁵⁰⁹ (1984), 51–60.

4. Sakai, K., Boundaries of ℓ2-manifolds in ℓ2,数理解析研究所講究録⁴⁴⁵(1981), 11–14. 3. Sakai, K., A relative version of the C.Bessaga’s result concerning convex sets and

shape, Mem. Fac. Educ., Kagawa Univ. Part II 29 (1979), 1–2.

2. 酒井 克郎, Monotone 写像について, 数理解析研究所講究録³⁴² (1979), 28–32. 1. 酒井 克郎, Shape Theory概観, Topology News 3 (1978), 16–23.