Lusternik-Schnirelmann type invariants for Menger manifolds

  title={Lusternik-Schnirelmann type invariants for Menger manifolds},
  author={Kazuhiro Kawamura},
We study the n-dimensional category catn…X† of a compact space X ,a counterpart to Lusternik-Schnirelmann category in the context of n-homotopy theory, and prove Menger manifold analogues of results due to Montejano and Wong for Hilbert cube manifolds. 

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