Weak forms of open mappings and strong forms of sequence-covering mappings.
Ge, Ying (2007)
Matematichki Vesnik
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Ge, Ying (2007)
Matematichki Vesnik
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Vlasta Matijevic (2003)
Revista Matemática Complutense
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The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and...
Salvatore Sessa (1982)
Publications de l'Institut Mathématique
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R. Majchrzak (1983)
Annales Polonici Mathematici
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G. Skordev (1979)
Fundamenta Mathematicae
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Krzysztof Nowiński (1972)
Fundamenta Mathematicae
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Luong Quoc Tuyen (2012)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we prove that each sequence-covering and boundary-compact map on -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [].
W. Holsztyński (1969)
Fundamenta Mathematicae
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Janusz J. Charatonik (2003)
Publications de l'Institut Mathématique
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