Abstract

We calculate the Lusternik‐Schnirelmann category of the k th ordered configuration spaces F. n ;k/ of n and give bounds for the category of the corresponding unordered configuration spaces B. n ;k/ and the sectional category of the fibrations n k W F. n ;k/!B. n ;k/. We show that secat. n k / can be expressed in terms of subspace category. In many cases, eg, if n is a power of 2, we determine cat.B. n ;k// and secat. n k / precisely. 55M30; 55R80, 55S40

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