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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 3, Pages 13–18 (Mi vmumm490)

Mathematics

The split weight and divisibility degree of topological products

A. N. Yakivchik

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The properties of splittability and divisibility introduced by A. V. Arhangel'skii and cardinal functions defined on their basis are considered. The growth of split weight and of divisibility degree when taking topological products is examined.

Key words: topological product, splittable space, divisibility degree, pseudoweight, $i$-weight, strict $\tau$-discreteness.

UDC: 515.12

Received: 07.02.2011


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2012, 67:3, 102–106

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