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Some mildly wild circles in S n arising from algebraic K-Theory (1991)

Ferry, Steven C. ; Pedersen, Erik Kjaer

Springer

K-Theory 4 (1991), S. 479-499

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ISSN: 1573-0514

Keywords: Lower K-theory ; wild embedding ; stratified space

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We study wild embeddings of S 1 in S n which are tame in a sense introduced by Quinn. We show that if π is a finitely presented group with H 1(π)=H 2(π)=0, then any finiteness obstruction σ ∈ K 0(ℤπ) can be realized on the complement of such an embedded S 1. We also realize trivially symmetric K −1(ℤπ) obstructions on the complements of such embeddings. For trivially symmetric σ, the embeddings constructed are shown to be isotopy homogeneous.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00533215

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