The space of Whitney levels is homeomorphic to $l_2$

• Autorzy: Alejandro Illanes
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 1-11

Daty

wydano

1993

otrzymano

1989-08-28

poprawiono

1991-08-27

Twórcy

autor

Alejandro Illanes

• Instituto de Matemáticas, Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria C.P. 04510 México, D.F., México

Bibliografia

• [1] W. J. Charatonik, A metric on hyperspaces defined by Whitney maps, Proc. Amer. Math. Soc. 94 (1985), 535-538.
• [2] D. W. Curtis, Application of a selection theorem to hyperspace contractibility, Canad. J. Math. 37 (1985), 747-759.
• [3] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math. 1 (1951), 353-367.
• [4] J. Dugundji, Topology, Allyn and Bacon, 1966.
• [5] C. Eberhart and S. B. Nadler, The dimension of certain hyperspaces, Bull. Acad. Polon. Sci. 19 (1971), 1027-1034.
• [6] A. Illanes, Spaces of Whitney maps, Pacific J. Math. 139 (1989), 67-77.
• [7] A. Illanes, The space of Whitney levels, Topology Appl. 40 (1991), 157-169.
• [8] A. Illanes, The space of Whitney decompositions, Ann. Inst. Mat. Univ. Autónoma México 28 (1988), 47-61.
• [9] S. B. Nadler, Hyperspaces of Sets, Dekker, 1978.
• [10] H. Toruńczyk, Characterizing Hilbert space topology, Fund. Math. 111 (1981), 247-262.
• [11] L. E. Ward, Jr., Extending Whitney maps, Pacific J. Math. 93 (1981), 465-469.
• [12] S. Willard, General Topology, Addison-Wesley, 1970.