Document Zbl 0415.55001

Minimal coverings of manifolds with balls. (English) Zbl 0415.55001

Manuscr. Math. 29, 385-415 (1979).

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MSC:

55M30	Lyusternik-Shnirel’man category of a space, topological complexity à la Farber, topological robotics (topological aspects)
57N15	Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
57Q30	Engulfing
57Q65	General position and transversality

Keywords:

coverings of manifolds with balls; Ljusternik-Schnirelmann category; engulfing; simplicial collapsing; fillings of manifolds

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Full Text: DOI EuDML

References:

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[9]	LUFT, E.: Covering manifolds with open discs. Illinois J. Math. 13, 321-326 (1969) · Zbl 0191.54902
[10]	MUNKRES, J.: Obstructions to the smoothing of piecewise-differentiable homeomorphisms. Ann. of Math. 72, 521-554 (1960) · Zbl 0108.18101 · doi:10.2307/1970228
[11]	OSBORNE, R. P., STERN, J. L.: Covering manifolds with cells. Pac. J. of Math. 30, 201-207 (1969) · Zbl 0176.53301
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[15]	SMALE, S.: On the structure of manifolds. Amer. J. of Math. 84, 387-399 (1962) · Zbl 0109.41103 · doi:10.2307/2372978
[16]	TAKENS, F.: The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelmann category. Invent. Math. 6, 197-244 (1968) · Zbl 0198.56603 · doi:10.1007/BF01404825
[17]	THOM, R.: Les structures diff?rentiables des boules et des sph?res. In: Colloque de G?om?trie Diff?rentielle Globale, Bruxelles (1958)
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