Geodesic
Frequency spectrum of functional spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 31-35

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Let $X$ be a compact space. Is the tightness of the product $C_p(X)\times Y$ countable for every $Y$ of countable tightness? The main result: the answer is yes iff $X$ is scattered. For an arbitrary $X$ the frequency spectrum of $C_p(X)$ is characterized in terms of cardinal functions of the space $X$. 
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     author = {V. V. Uspenskii},
     title = {Frequency spectrum of functional spaces},
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V. V. Uspenskii. Frequency spectrum of functional spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 31-35. http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a8/