메뉴 건너뛰기




Volumn 6, Issue 2, 1998, Pages 149-170

Continuous Selections for Continuous Set-Valued Mappings and Finite-Dimensional Sets

Author keywords

Continuous; d continuous; P embedding; Proximal continuous; Relative covering dimension; Selection; Set valued mapping; Strongly lower semi factorizable

Indexed keywords


EID: 0039236312     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008649305964     Document Type: Article
Times cited : (6)

References (34)
  • 1
    • 0007438939 scopus 로고
    • Distance functionals and suprema of hyperspace topologies
    • Beer, G., Lechicki, A., Levi, S. and Naimpally, S.: Distance functionals and suprema of hyperspace topologies, Ann. Mat. Pura Appl. 162 (1992), 367-381.
    • (1992) Ann. Mat. Pura Appl. , vol.162 , pp. 367-381
    • Beer, G.1    Lechicki, A.2    Levi, S.3    Naimpally, S.4
  • 2
    • 0040665722 scopus 로고
    • On relative dimensions of completely regular spaces
    • Chigogidze, A.: On relative dimensions of completely regular spaces, Soobshch. Akad. Nauk Gruzin. SSR 85 (1977), 45-48.
    • (1977) Soobshch. Akad. Nauk Gruzin. SSR , vol.85 , pp. 45-48
    • Chigogidze, A.1
  • 4
    • 0042192590 scopus 로고
    • Characterization of Polish AE(n)-spaces
    • in Russian
    • Chigogidze, A.: Characterization of Polish AE(n)-spaces, Vestnik Moskov. Univ. 5 (1987), 32-35 (in Russian).
    • (1987) Vestnik Moskov. Univ. , vol.5 , pp. 32-35
    • Chigogidze, A.1
  • 6
    • 38249007047 scopus 로고
    • Representing spaces as images of zero-dimensional spaces
    • Choban, M. and Michael, E.: Representing spaces as images of zero-dimensional spaces, Topology Appl. 49 (1993), 217-220.
    • (1993) Topology Appl. , vol.49 , pp. 217-220
    • Choban, M.1    Michael, E.2
  • 7
    • 0010705339 scopus 로고
    • Growth hyperspaces of Peano continua
    • Curtis, D. W.: Growth hyperspaces of Peano continua, Trans. Amer. Math. Soc. 238 (1978), 271-283.
    • (1978) Trans. Amer. Math. Soc. , vol.238 , pp. 271-283
    • Curtis, D.W.1
  • 8
    • 0038817534 scopus 로고
    • Hyperspaces of noncompact metric spaces
    • Curtis, D. W.: Hyperspaces of noncompact metric spaces, Compositio Math. 40(2) (1980), 139-152.
    • (1980) Compositio Math. , vol.40 , Issue.2 , pp. 139-152
    • Curtis, D.W.1
  • 9
    • 0000332980 scopus 로고
    • Mappings theorems for non-compact spaces
    • Dowker, C. H.: Mappings theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200-242.
    • (1947) Amer. J. Math. , vol.69 , pp. 200-242
    • Dowker, C.H.1
  • 10
    • 0041138973 scopus 로고
    • Absolute extensors in dimension n and n-soft mappings raising the dimension
    • in Russian
    • Dranishnikov, A.: Absolute extensors in dimension n and n-soft mappings raising the dimension, Uspekhi Mat. Nauk 39 (1984), 55-95 (in Russian).
    • (1984) Uspekhi Mat. Nauk , vol.39 , pp. 55-95
    • Dranishnikov, A.1
  • 11
    • 0010923321 scopus 로고
    • Universal Menger compacta and universal maps
    • in Russian
    • Dranishnikov, A.: Universal Menger compacta and universal maps, Mat. Sbornik 129 (1986), 121-139 (in Russian).
    • (1986) Mat. Sbornik , vol.129 , pp. 121-139
    • Dranishnikov, A.1
  • 12
    • 84972498049 scopus 로고
    • An extension of Tietze's theorem
    • Dugundji, J.: An extension of Tietze's theorem, Pacific J. Math. 1 (1951), 353-367.
    • (1951) Pacific J. Math. , vol.1 , pp. 353-367
    • Dugundji, J.1
  • 13
    • 0040665721 scopus 로고
    • Absolute neighborhood retracts and local connectedness in arbitrary metric spaces
    • Dugundji, J.: Absolute neighborhood retracts and local connectedness in arbitrary metric spaces, Compositio Math. 13 (1958), 229-246.
    • (1958) Compositio Math. , vol.13 , pp. 229-246
    • Dugundji, J.1
  • 14
    • 84968468905 scopus 로고
    • On local and uniformly local topological properties
    • Dugundji, J. and Michael, E.: On local and uniformly local topological properties, Proc. Amer. Math. Soc. 7 (1956), 304-307.
    • (1956) Proc. Amer. Math. Soc. , vol.7 , pp. 304-307
    • Dugundji, J.1    Michael, E.2
  • 15
    • 0041691871 scopus 로고
    • Continuous selections and finite-dimensional sets in collectionwise normal spaces
    • Gutev, V.: Continuous selections and finite-dimensional sets in collectionwise normal spaces, C.R. Acad. Bulgare Sci. 39(5) (1986), 9-12.
    • (1986) C.R. Acad. Bulgare Sci. , vol.39 , Issue.5 , pp. 9-12
    • Gutev, V.1
  • 16
    • 0042693734 scopus 로고
    • Set-valued continuous selections
    • Gutev, V.: Set-valued continuous selections, C.R. Acad. Bulgare Sci. 40(6) (1987), 9-11.
    • (1987) C.R. Acad. Bulgare Sci. , vol.40 , Issue.6 , pp. 9-11
    • Gutev, V.1
  • 17
    • 0043194818 scopus 로고    scopus 로고
    • Weak factorizations of continuous set-valued mappings
    • to appear
    • Gutev, V.: Weak factorizations of continuous set-valued mappings, Topology Appl. (to appear).
    • Topology Appl.
    • Gutev, V.1
  • 18
    • 0033470474 scopus 로고    scopus 로고
    • Factorizing dimension-like properties of subsets of topological spaces
    • to appear
    • Gutev, V.: Factorizing dimension-like properties of subsets of topological spaces, Acta Math. Hungar. 82(1-2) (1999) (to appear).
    • (1999) Acta Math. Hungar. , vol.82 , Issue.1-2
    • Gutev, V.1
  • 19
    • 0000981669 scopus 로고
    • Erweiterung einer homöorphie
    • Hausdorff, F.: Erweiterung einer homöorphie, Fund. Math. 16 (1930), 353-360.
    • (1930) Fund. Math. , vol.16 , pp. 353-360
    • Hausdorff, F.1
  • 20
    • 84972493984 scopus 로고
    • On embeddings of spaces into A N R and shape
    • Kodama, Y.: On embeddings of spaces into A N R and shape, J. Math. Soc. Japan 27 (1975), 533-544.
    • (1975) J. Math. Soc. Japan , vol.27 , pp. 533-544
    • Kodama, Y.1
  • 21
    • 0011518715 scopus 로고
    • Sur les espaces localement connexes et péaniens en dimension n
    • Kuratowski, K.: Sur les espaces localement connexes et péaniens en dimension n, Fund. Math. 24 (1935), 269-287.
    • (1935) Fund. Math. , vol.24 , pp. 269-287
    • Kuratowski, K.1
  • 22
    • 84966237569 scopus 로고
    • Topologies on spaces of subsets
    • Michael, E.: Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 347-370.
    • (1951) Trans. Amer. Math. Soc. , vol.71 , pp. 347-370
    • Michael, E.1
  • 23
    • 0001232090 scopus 로고
    • Continuous selections I
    • Michael, E.: Continuous selections I, Ann. of Math. 63 (1956), 361-382.
    • (1956) Ann. of Math. , vol.63 , pp. 361-382
    • Michael, E.1
  • 24
    • 0001232091 scopus 로고
    • Continuous selections II
    • Michael, E.: Continuous selections II, Ann. of Math. 64 (1956), 562-580.
    • (1956) Ann. of Math. , vol.64 , pp. 562-580
    • Michael, E.1
  • 25
    • 0039931588 scopus 로고
    • Continuous selections III
    • Michael, E.: Continuous selections III, Ann. of Math. 65 (1957), 375-390.
    • (1957) Ann. of Math. , vol.65 , pp. 375-390
    • Michael, E.1
  • 26
    • 84972490981 scopus 로고
    • Continuous selections and finite-dimensional sets
    • Michael, E.: Continuous selections and finite-dimensional sets, Pacific J. Math. 87 (1980), 189-197.
    • (1980) Pacific J. Math. , vol.87 , pp. 189-197
    • Michael, E.1
  • 27
    • 0002988963 scopus 로고
    • Čech cohomology and covering dimension for topological spaces
    • Morita, K.: Čech cohomology and covering dimension for topological spaces, Fund. Math. 87(1) (1975), 31-52.
    • (1975) Fund. Math. , vol.87 , Issue.1 , pp. 31-52
    • Morita, K.1
  • 28
    • 0038156621 scopus 로고
    • Dimension of general spaces
    • G. M. Reed (ed.), Academic Press
    • Morita, K.: Dimension of general spaces, in: G. M. Reed (ed.), Surveys in General Topology, Academic Press, 1980.
    • (1980) Surveys in General Topology
    • Morita, K.1
  • 29
    • 0039480371 scopus 로고
    • Dimension of non-normal spaces
    • Nagami, K.: Dimension of non-normal spaces, Fund. Math. 109 (1980), 113-121.
    • (1980) Fund. Math. , vol.109 , pp. 113-121
    • Nagami, K.1
  • 30
    • 84934421956 scopus 로고
    • Continuous set-valued selections for l.s.c. mappings
    • in Russian
    • Nepomnyashchii, G.: Continuous set-valued selections for l.s.c. mappings, Sibirsk. Mat. Zh. 26 (1985), 70-78 (in Russian).
    • (1985) Sibirsk. Mat. Zh. , vol.26 , pp. 70-78
    • Nepomnyashchii, G.1
  • 31
    • 0002684693 scopus 로고
    • Collectionwise normality and extensions of continuous functions
    • Przymusiński, T.: Collectionwise normality and extensions of continuous functions, Fund. Math. 98 (1978), 75-81.
    • (1978) Fund. Math. , vol.98 , pp. 75-81
    • Przymusiński, T.1
  • 32
    • 84966232049 scopus 로고
    • Paracompactness and product spaces
    • Stone, A. H.: Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977-982.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 977-982
    • Stone, A.H.1
  • 33
    • 0042192585 scopus 로고
    • A note on closed embeddings of finite dimensional metric spaces
    • Tsuda, K.: A note on closed embeddings of finite dimensional metric spaces, Bull. Polish Acad. Sci. Math. 33 (1985), 541-546.
    • (1985) Bull. Polish Acad. Sci. Math. , vol.33 , pp. 541-546
    • Tsuda, K.1
  • 34
    • 0011803289 scopus 로고
    • Convergence and uniformity in topology
    • Princeton
    • Tukey, J. W.: Convergence and uniformity in topology, in: Annals of Mathematics Studies 2, Princeton, 1940.
    • (1940) Annals of Mathematics Studies , pp. 2
    • Tukey, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.