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Volumn 80, Issue 1-2, 1997, Pages 7-19

On the Sternfeld-Levin counterexamples to a conjecture of Chogoshvili-Pontrjagin

Author keywords

Atom; Atomic map; Chogoshvili Pontrjagin Conjecture; Hereditarily indecomposable continuum

Indexed keywords


EID: 15944411064     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)00002-3     Document Type: Article
Times cited : (3)

References (16)
  • 2
    • 0011324208 scopus 로고
    • Higher dimensional hereditarily indecomposable continua
    • R.H. Bing, Higher dimensional hereditarily indecomposable continua, Trans. Amer. Math. Soc. 71 (1951) 267-273.
    • (1951) Trans. Amer. Math. Soc. , vol.71 , pp. 267-273
    • Bing, R.H.1
  • 4
    • 0040544867 scopus 로고
    • On a theorem in the theory of dimensionality
    • G. Chogoshvili, On a theorem in the theory of dimensionality, Compositio Math. 5 (1937-38) 292-298.
    • (1937) Compositio Math. , vol.5 , pp. 292-298
    • Chogoshvili, G.1
  • 6
    • 15944362302 scopus 로고    scopus 로고
    • Certain 2-stable embeddings
    • T. Dobrowolski, M. Levin and L.R. Rubin, Certain 2-stable embeddings, Topology Appl. 80 (1997) 81-90 (this issue).
    • (1997) Topology Appl. , vol.80 , Issue.THIS ISSUE , pp. 81-90
    • Dobrowolski, T.1    Levin, M.2    Rubin, L.R.3
  • 10
    • 0004177563 scopus 로고
    • Wayne State University Press
    • S.T. Hu, Theory of Retracts (Wayne State University Press, 1965).
    • (1965) Theory of Retracts
    • Hu, S.T.1
  • 11
    • 0038156519 scopus 로고
    • Polish Acad. Sci., Warsaw
    • C. Kuratowski, Topologie, Vol. II (Polish Acad. Sci., Warsaw, 1961).
    • (1961) Topologie , vol.2
    • Kuratowski, C.1
  • 12
    • 15944418825 scopus 로고    scopus 로고
    • Bing maps and finite dimensional maps
    • to appear
    • M. Levin, Bing maps and finite dimensional maps, Fund. Math., to appear.
    • Fund. Math.
    • Levin, M.1
  • 13
    • 38249000069 scopus 로고
    • Mappings which are stable with respect to the property dim f(X) ≥ k
    • M. Levin and Y. Sternfeld, Mappings which are stable with respect to the property dim f(X) ≥ k, Topology Appl. 52 (1993) 241-265.
    • (1993) Topology Appl. , vol.52 , pp. 241-265
    • Levin, M.1    Sternfeld, Y.2
  • 15
    • 0010123516 scopus 로고
    • An example of a two-dimensional set in three-dimensional Euclidean space allowing arbitrarily small deformations into a one-dimensional polyhedron and a certain new characterization of the dimension of sets in Euclidean spaces
    • in Russian
    • K. Sitnikov, An example of a two-dimensional set in three-dimensional Euclidean space allowing arbitrarily small deformations into a one-dimensional polyhedron and a certain new characterization of the dimension of sets in Euclidean spaces, Dokl. Akad. Nauk SSSR 88 (1953) 21-24 (in Russian).
    • (1953) Dokl. Akad. Nauk SSSR , vol.88 , pp. 21-24
    • Sitnikov, K.1
  • 16
    • 84966236982 scopus 로고
    • Stability and dimension - A counterexample to a conjecture of Chogoshvili
    • Y. Sternfeld, Stability and dimension - a counterexample to a conjecture of Chogoshvili, Trans. Amer. Math. Soc. 340 (1993) 243-251.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 243-251
    • Sternfeld, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.