Some special cases of Bobadilla's conjecture
نویسندگان
چکیده
منابع مشابه
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Ganea conjectured that for any finite CW complex and any k > 0, cat(X×Sk) = cat(X) + 1. In this paper we prove two special cases of this conjecture. The main result is the following. Let X be a (p − 1) connected n dimensional CW complex (not necessarily finite). We show that if cat(X) = ⌊ n p ⌋ + 1 and n 6≡ −1 mod p (which implies p > 1), then cat(X×Sk) = cat(X) + 1. This is proved by showing t...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2017
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.12.011