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For $\kappa$ a cardinal, a space $X=(X,\sT)$ is $\kappa$-{\it resolvable} if$X$ admits $\kappa$-many pairwise disjoint $\sT$-dense subsets; $(X,\sT)$ is{\it exactly} $\kappa$-{\it resolvable} if it is $\kappa$-resolvable but not$\kappa^+$-resolvable.  The present paper complements and supplements the authors' earlier work,which showed for suitably restricted spaces $(X,\sT)$ and cardinals$\kappa\geq\lambda\geq\omega$ that $(X,\sT)$, if $\kappa$-resolvable, admits anexpansion $\sU\supseteq\sT$, with $(X,\sU)$ Tychonoff if $(X,\sT)$ isTychonoff, such that $(X,\sU)$ is $\mu$-resolvable for all $\mu<\lambda$ but isnot $\lambda$-resolvable (cf. Theorem~3.3 of \cite{comfhu10}). Here the "finitecase" is addressed. The authors show in ZFC for $1<n<\omega$: (a) every$n$-resolvable space $(X,\sT)$ admits an exactly $n$-resolvable expansion$\sU\supseteq\sT$; (b) in some cases, even with $(X,\sT)$ Tychonoff, no choiceof $\sU$ is available such that $(X,\sU)$ is quasi-regular; (c) if$n$-resolvable, $(X,\sT)$ admits an exactly $n$-resolvable quasi-regularexpansion $\sU$ if and only if either $(X,\sT)$ is itself exactly$n$-resolvable and quasi-regular or $(X,\sT)$ has a subspace which is either$n$-resolvable and nowhere dense or is $(2n)$-resolvable. In particular, every$\omega$-resolvable quasi-regular space admits an exactly $n$-resolvablequasi-regular expansion. Further, for many familiar topological properties$\PP$, one may choose $\sU$ so that $(X,\sU)\in\PP$ if $(X,\sT)\in\PP$.

Exactly $n$-resolvable Topological Expansions