2018•FilomatOpen access

A note on dieudonne complete spaces

Asylbek A. Chekeev, Tumar J. Kasymova

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Abstract

In this paper, it is established a characterization of ?-normal coverings by means of approximation of the Cech complete paracompacta, which are the perfect preimages of completemetric spaces of weight ? ?. In particular, this characterization generalizes to an arbitrary cardinal the result of A. Garsia-Maynez [15].

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In this paper, it is established a characterization of ?-normal coverings by means of approximation of the Cech complete paracompacta, which are the perfect preimages of completemetric spaces of weight ? ?. In particular, this characterization generalizes to an arbitrary cardinal the result of A. Garsia-Maynez [15].

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Available abstract

In this paper, it is established a characterization of ?-normal coverings by means of approximation of the Cech complete paracompacta, which are the perfect preimages of completemetric spaces of weight ? ?. In particular, this characterization generalizes to an arbitrary cardinal the result of A. Garsia-Maynez [15].

Key concepts: Mathematics, Characterization (materials science), Pure mathematics, Discrete mathematics, Combinatorics, Materials science, Nanotechnology

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