= Stratified pseudomanifold
= Pseudomanifold
{synonym}
An $N$-dimensional conically <stratified space> has a closed filtration $\varnothing=X_{-1}\subseteq X_0\subseteq\cdots\subseteq X_N=X$, with each nonempty $X_j\setminus X_{j-1}$ a $j$-manifold, $X_{N-1}=X_{N-2}$, and dense top stratum. At an $s$-stratum the conical link is a compact $(N-s-1)$-dimensional <stratified pseudomanifold>. In dimension zero a compact link is a finite set. Connected links are an additional normality condition, not part of this definition.
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