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Representing homology classes by locally flat 2-spheres (1993)

Lee, Ronnie ; Wilczyński, Dariusz M.

Springer

K-Theory 7 (1993), S. 333-367

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ISSN: 1573-0514

Keywords: Locally flat embedding ; pointed Hermitian module ; splitting ; stability

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We prove an existence result for topologically locally flat embeddings of 2-spheres in simply connected 4-manifolds. This topological result is deduced from a splitting theorem for pointed Hermitian modules over a cyclic group ring. A stability result for such modules is also proved. This applies to the isotopy classification of locally flat embeddings.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00962053

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