@inproceedings{9fa62dfb97ff444a9ea1da49c0d1ed45,

title = "Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes",

abstract = "Let $X$ be a two-cell complex with attaching map $\alpha\colon S^q\to S^p$, and let $C_X$ be the cofiber of the diagonal inclusion $X\to X\times X$. It is shown that the topological complexity (${\rm TC}$) of $X$ agrees with the Lusternik-Schnirelmann category (${\rm cat}$) of $C_X$ in the (almost stable) range $q\leq2p-1$. In addition, the equality ${\rm TC}(X)={\rm cat}(C_X)$ is proved in the (strict) metastable range $2p-1",

keywords = "math.AT, 55M30, 55Q25, 55S35, 55S36, 68T40, 70B15",

author = "Jes{\'u}s Gonz{\'a}lez and Mark Grant and Lucile Vandembroucq",

year = "2018",

doi = "10.1090/conm/702/14109",

language = "English",

isbn = "9781470434366",

volume = "702",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "133--150",

editor = "Grant, {Mark } and Lupton, {Gregory } and Vandembroucq, {Lucile }",

booktitle = "Topological complexity and related topics",

address = "United States",

}