A note on the rank of diagonals |
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Authors: | Yu Zuoming |
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Institution: | Department of Mathematics, Suzhou University, 215006, PR China |
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Abstract: | For each natural number k?4, we construct a Tychonoff space with a rank k-diagonal but without a rank (k+1)-diagonal. This example proves a conjecture on rank of diagonal given by A.V. Arhangel'skii and R.Z. Buzyakova (2006) in 1] and answers some questions raised by them in the same paper. |
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Keywords: | 54E35 54E99 |
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