[BS] B. Balcar and P. Simon: Disjoint refinements. Handbook of Boolean Algebra, J.D. Monk and R. Bonnet (eds.), Nort-Holland, Amsterdam, 1989.
[Bl$_1$] A.R. Blass: Orderings of Ultrafilters. Doctoral dissertation, Harvard University, 1970.
[Bl$_2$] A.R. Blass: 
Kleene degree of ultrafilters. Recursion Theory Week (Oberwolfach 1984) Lecture Notes in Mathematics 1141, Springer-Verlag, 1985, pp. 29–48. 
MR 0820773[CN] W.W. Comfort and S. Negrepontis: 
The Theory of Ultrafilters. Grundlehren der Mathematischen Wissenschaften Vol. 211, Springer-Verlag, 1974. 
MR 0396267[F$_1$] Z. Frolík: 
The topological product of countably compact spaces. Czech. J. Math. 10 (1960), 329–338. 
MR 0117705[G-F$_1$] S. Garcia-Ferreira: 
Some remarks on initial $\alpha $-compactness, $<\alpha $-boundedness and $p$-compactness. Top. Proc. 15, 15–28. 
MR 1159077 | 
Zbl 0744.54009[G-F$_2$] S. Garcia-Ferreira: 
On $FU(p)$-spaces and $p$-sequential spaces. Comment. Math. Univ. Carolinae 32 (1991), 161–171. 
MR 1118299 | 
Zbl 0789.54032[G-F$_4$] S. Garcia-Ferreira: 
Three orderings on $\beta (\omega )\setminus \omega $. Top. Appl. 50 (1993), 199–216. 
MR 1227550 | 
Zbl 0791.54032[GJ] L. Gillman and M. Jerison: 
Rings of Continuous Functions. Graduate Texts in Mathematics Vol. 43, Springer-Verlag, 1976. 
MR 0407579[Ka] M. Katětov: 
Product of filters. Comment. Math. Univ. Carolinae 9 (1968), 173–189. 
MR 0250257[K$_1$] A.P. Kombarov: 
On a theorem of A.H. Stone. Soviet Math. Dokl. 27 (1983), 544–547. 
Zbl 0531.54007[K$_2$] A.P. Kombarov: 
Compactness and sequentiality with respect to a set ultrafilters. Moscow Univ. Math. Bull. 40 (1985), no. 5, 15–18. 
MR 0814266[Ku] K. Kunen: 
Weak $P$-points in $\omega ^*$. Colloquia Mathematica Societatis, János Bolyai 23 (North-Holland, Amsterdam), 1978, pp. 741–749. 
MR 0588822[O] L. O’Callaghan: Topological Endohomeomorphisms and Compactness Properties of Products and Generalized $\Sigma $-products. Doctoral Dissertation, Wesleyan University, 1975.
[SS] V. Saks and R.M. Stephenson Jr.: 
Products of $M$-compact spaces. Proc. Amer. Math. Soc. 28 (1971), 279–288. 
MR 0273570[S] I.A. Savchenko: 
Convergence with respect to ultrafilters and the collective normality of products. Moscow Univ. Math. Bull. 43 (1988), no. 2, 45–47. 
MR 0938072 | 
Zbl 0687.54004[Sm] Y.M. Smirnov: 
On topological spaces, compact in a given interval of powers. Izv. Akad. Nauk. SSSR Ser. Mat. 14 (1950), 155–178. 
MR 0035004[St] R.M. Stephenson Jr.: 
Initially $\kappa $-compact and related spaces. Handbook of Set-Theoretic Topology, K. Kunen and J.E. Vaughan (eds.), North-Holland, 1984. 
MR 0776632 | 
Zbl 0588.54025[SV] R.M. Stephenson Jr. and J.E. Vaughan: 
Products of initially $\alpha $-compact spaces. Trans. Amer. Math. Soc. 196 (1974), 177–189. 
MR 0425898[V$_2$] J.E. Vaughan: 
Countably compact and sequentially compact spaces. Handbook of Set-Theoretic Topology, K. Kunen and J.E. Vaughan (eds.), North-Holland, 1984. 
MR 0776631 | 
Zbl 0562.54031