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A study of universal elements in classes of bases of topological spaces

Dimitris N. GeorgiouAthanasios C. MegaritisInderasan NaidooFotini Sereti — 2021

Commentationes Mathematicae Universitatis Carolinae

The universality problem focuses on finding universal spaces in classes of topological spaces. Moreover, in “Universal spaces and mappings” by S. D. Iliadis (2005), an important method of constructing such universal elements in classes of spaces is introduced and explained in details. Simultaneously, in “A topological dimension greater than or equal to the classical covering dimension” by D. N. Georgiou, A. C. Megaritis and F. Sereti (2017), new topological dimension is introduced and studied, which...

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