Výsledky vyhledávání - "Dimov, Georgi D."

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An internal topological characterization of the subspaces of Eberlein compacta and related compacta -- II

Autor: Dimov, Georgi D.

We generalize a theorem of E. Michael and M. E. Rudin and a theorem of D. Preiss and P. Simon; we give, as well, some partial answers to a recent question of A. V. Arhangel'ski\v{\i}.
Comment: 22 pages

Externí odkaz: http://arxiv.org/abs/1412.2834

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An internal topological characterization of the subspaces of Eberlein compacts and related compacts -- I

Autor: Dimov, Georgi D.

We obtain an internal topological characterization of the subspaces of Eberlein compacts (respectively, Corson compacts, strong Eberlein compacts, uniform Eberlein compacts, $n$-uniform Eberlein compacts).
Comment: 21 pages

Externí odkaz: http://arxiv.org/abs/1207.6802

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A Whiteheadian-type description of Euclidean spaces, spheres, tori and Tychonoff cubes

Autor: Dimov, Georgi D.

In the beginning of the 20th century, A. N. Whitehead and T. de Laguna proposed a new theory of space, known as {\em region-based theory of space}. They did not present their ideas in a detailed mathematical form. In 1997, P. Roeper has shown that th

Externí odkaz: http://arxiv.org/abs/1203.4279

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