Spaces in which sequences suffice
S. Franklin (1965)
Fundamenta Mathematicae
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S. Franklin (1965)
Fundamenta Mathematicae
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Naidu, S.V.R., Rao, K.P.R., Srinivasa Rao, N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Sehie Park (1984)
Colloquium Mathematicae
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Roman Duda, Rastislav Telgársky (1968)
Czechoslovak Mathematical Journal
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Türkoğlu, Duran, Fisher, Brian (1999)
Novi Sad Journal of Mathematics
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M. S. Kahn (1980)
Publications de l'Institut Mathématique
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Jain, R.K., Sahu, H.K., Fisher, Brian (1996)
Novi Sad Journal of Mathematics
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Bal Kishan Dass, Lalita Khazanchi (1976)
Colloquium Mathematicae
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W. Kulpa (1976)
Colloquium Mathematicae
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Karol Pąk (2008)
Formalized Mathematics
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This paper is a continuation of [12]. First some definitions needed to formulate Cantor's theorem on complete spaces and show several facts about them are introduced. Next section contains the proof of Cantor's theorem and some properties of complete spaces resulting from this theorem. Moreover, countable compact spaces and proofs of auxiliary facts about them is defined. I also show the important condition that every metric space is compact if and only if it is countably compact. Then...
W. Waliszewski (1973)
Annales Polonici Mathematici
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