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In this paper, we apply the notion of ω-open sets due to Arhangel’ski i [1] to present and study a new class of functions called almost ω-continuous functions. Relationships between this new class and other classes of functions are established.

cubo

Almost &amp;omega;-continuous functions defined by &amp;omega;-open sets due to Arhangel'ski&lt;img width=13 height=23 src="http://fbpe/img/cubo/v19n1/art01-1.jpg" alt="http://fbpe/img/cubo/v19n1/art01-1.jpg"&gt;