Lusternik-Schnirelmann type invariants for Menger manifolds

KAWAMURA, Kazuhiro

J. Math. Soc. Japan, Tome 53 (2001) no. 3, p. 669-685 / Harvested from Project Euclid

Résumé

We study the $n$ -dimensional category $\mathrm{cat}_{n}(X)$ 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.

Publié le : 2001-07-15
Classification: Lusternik-Schnirelmann category, $n$-dimensional category, n-homotopy, Menger manifold, Hilbert cube manifold, the $n$-homotopy kernel, 55M30, 55P55, 57Q05, 57N20

@article{1213023729,
     author = {KAWAMURA, Kazuhiro},
     title = {Lusternik-Schnirelmann type invariants for Menger manifolds},
     journal = {J. Math. Soc. Japan},
     volume = {53},
     number = {3},
     year = {2001},
     pages = { 669-685},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1213023729}
}

KAWAMURA, Kazuhiro. Lusternik-Schnirelmann type invariants for Menger manifolds. J. Math. Soc. Japan, Tome 53 (2001) no. 3, pp.  669-685. http://gdmltest.u-ga.fr/item/1213023729/