α-Covering Dimension

March 2011
International Journal of Pure & Applied Sciences & Technology;Mar2011, Vol. 3 Issue 1, p1
Academic Journal
The article offers information on a type of covering dimension, indicating its properties and characterizations. It cites the use of alpha-open sets in topological spaces to present a type of covering dimension. Moreover, it indicates that every finite alpha-open cover of X has an alpha-open refinement of order not exceeding n, thus the alpha-covering dimension of a topological space is the least positive integer.


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