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Todd Trimble
Todd Trimble
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I think the reason must be that a pseudomanifold $V$ has singular locus $\Sigma V$ of codimension 2 or greater. (Stratifications of varieties are obtained by letting $X_{k-1}$ be the singular locus of $X_k$, or some refinement of that to get the Whitney conditions.) This codimension condition is reflected topologically by the nonbranching condition in the definition of pseudomanifoldpseudomanifold.

I think the reason must be that a pseudomanifold $V$ has singular locus $\Sigma V$ of codimension 2 or greater. (Stratifications of varieties are obtained by letting $X_{k-1}$ be the singular locus of $X_k$, or some refinement of that to get the Whitney conditions.) This codimension condition is reflected topologically by the nonbranching condition in the definition of pseudomanifold.

I think the reason must be that a pseudomanifold $V$ has singular locus $\Sigma V$ of codimension 2 or greater. (Stratifications of varieties are obtained by letting $X_{k-1}$ be the singular locus of $X_k$, or some refinement of that to get the Whitney conditions.) This codimension condition is reflected topologically by the nonbranching condition in the definition of pseudomanifold.

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Todd Trimble
Todd Trimble
  • 53.3k
  • 6
  • 205
  • 322

I think the reason must be that a pseudomanifold $V$ has singular locus $\Sigma V$ of codimension 2 or greater. (Stratifications of varieties are obtained by letting $X_{k-1}$ be the singular locus of $X_k$, or some refinement of that to get the Whitney conditions.) This codimension condition is reflected topologically by the nonbranching condition in the definition of pseudomanifold.