  Suppose ? is a topological space and S(?) is the vector lattice of all
equivalence classes of continuous real-valued functions defined on open dense
subsets of ?. In this paper, we establish some lattice and topological aspects
of S(?). In particular, as an application, we show that the unbounded order
convergence and the order convergence are stable under passing to the Fremlin
tensor product of two Archimedean vector lattices. Furthermore, by considering
the Fremlin projective tensor product between Banach lattices, we establish a
partial variant of this result for unbounded norm convergence and unbounded
absolute weak convergence, as well.
