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Ganea's Conjecture on Lusternik–Schnirelmann Category
Author(s) -
Iwase Norio
Publication year - 1998
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398004548
Subject(s) - mathematics , conjecture , mathematics subject classification , series (stratigraphy) , pure mathematics , combinatorics , paleontology , biology
A series of complexes Q p indexed by all primes p is constructed with cat Q p =2 and cat Q p × S n =2 for either n ⩾2 or n =1 and p =2. This disproves Ganea's conjecture on Lusternik–Schnirelmann (LS) category. 1991 Mathematics Subject Classification 55M30.