There are general results concerning the asymptotic behavior in the direction of the singularity for
T^{3}-Gowdy spacetimes; there is, e.g., an open and dense subset of the circle such that there are smooth
expansions on ; see [12, Theorem 1.3, p. 1018] and [79, Proposition 1.9, p. 985]. However, the results
of [54, 68, 71] show that the asymptotic behavior of solutions is in general very complicated;
there are, e.g., solutions with an infinite number of true spikes. On the other hand, much of the
complicated behavior can be expected to be unstable, i.e., nongeneric. Thus, since the strong
cosmic-censorship conjecture is only a statement concerning generic solutions, it is natural to try to find
a set of solutions whose asymptotics are generic but less complicated than those of general
solutions. The purpose of the present section is to define one generic set of initial data. Since
the concepts nondegenerate true and false spikes play a central role, let us begin by defining
them.

11.1 Nondegenerate true spikes

11.2 Nondegenerate false spikes

11.3 The generic set, definition

11.4 Verification of genericity, openness

11.5 Verification of genericity, density

11.2 Nondegenerate false spikes

11.3 The generic set, definition

11.4 Verification of genericity, openness

11.5 Verification of genericity, density

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