Lusternik-Schnirelmann Category

By O. Cornea. 2003

464 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/d338c1f538471aece39869ad383af550d7a3be01

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In Artificial Intelligence

In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Minimax Problems Related to Cup Powers and Steenrod Squares (2007, background): “(For a reference on Lusternik–Schnirelmann theory, see the first chapter of [CLOT].”
On the Berstein–Svarc theorem in dimension 2 (2007, methodology): “chnirelmann category 6 5. Applications to maps of degree 1 7 References 8 1. Introduction We follow the normalization of the Lusternik-Schnirelmann category (LS category) used in the recent monograph [CLOT03], i.e. the category of the point is equal to zero. The category of a space X is denoted by c”
The action spectrum and $$C^0$$ symplectic topology (2018, background): “For details, we refer the reader to [5,33,54].”
Dwyer–Kan homotopy theory of enriched categories (2012, unknown): “]: x[1|234] + x[1|342] + x[1|243] + x[1|234] + x[12|34] + x[13|24] + x[14|23]+ x[14|23] + x[13|24] + x[12|34] + x[123|4] + x[124|3] + x[134|2] + x[123|4] = 1 x[1|243] + x[1|432] + x[1|243] + x[1|234] + x[12|43] + x[13|24] + x[14|23]+ x[14|23] + x[13|24] + x[12|43] + x[123|4] + x[124|3] + x[143|2] + ”
Small values of the Lusternik-Schnirelmann category for manifolds (2008, background): “Definition ([BG61, Fe53, Fo41]).”
Star clusters in independence complexes of graphs (2010, background): “The reader is referred to [14] for results on this invariant.”
Higher topological complexity and its symmetrization (2010, methodology): “open sets to simplify our formulae, and to comply with what seems to be the most common denition of cat(X), the Lusternik-Schnirelmann category (called simply ‘category’ for short) of X, as given in [CLOT03]. Denition 2.3. A brational substitute of a map f is a bration fbsuch that there is a commuta”