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Determining the Characteristic Numbers of Self‐Intersection Manifolds
Author(s) -
AsadiGolmankhaneh Mohammad A.,
Eccles Peter J.
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700008930
Subject(s) - mathematics , intersection (aeronautics) , immersion (mathematics) , transverse plane , combinatorics , complete intersection , pure mathematics , homotopy , mathematical analysis , physics , structural engineering , geography , engineering , cartography
The bordism class of a self‐transverse immersion f : M n−k ↬R n corresponds to an element α of the homotopy group π n Ω ∞ Σ ∞ MO ( k ). It is explained how the Z/2∖sHurewicz image h (α)∈ H n (Ω ∞ Σ ∞ MO ( k );Z/2) may be used to determine the characteristic numbers of the self‐intersection manifolds Δ r ( f ) of the immersion f .
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