On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups
Keyword(s):
Abstract Functions of dimension modulo a (rather wide) class of spaces are considered and the conditions are found, under which the dimension of the product of spaces modulo these classes is equal to zero. Based on these results, the sufficient conditions are established, under which spaces of free topological semigroups (in the sense of Marxen) and spaces of free topological groups (in the sense of Markov and Graev) are zero-dimensional modulo classes of compact spaces.
1980 ◽
Vol 21
(3)
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pp. 407-417
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1977 ◽
Vol 23
(1)
◽
pp. 46-58
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1994 ◽
Vol 49
(1)
◽
pp. 91-100
2017 ◽
Vol 20
(K2)
◽
pp. 131-140