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On genera of polyhedra

100%

Drozd Y., Kolesnyk P.

Open Mathematics

2012

tom 10

nr 2

401-410

We consider the stable homotopy category S of polyhedra (finite cell complexes). We say that two polyhedra X,Y are in the same genus and write X ∼ Y if X p ≅ Y p for all prime p, where X p denotes the image of Xin the localized category S p. We prove that it is equivalent to the stable isomorphism X∨B 0 ≅Y∨B 0, where B 0 is the wedge of all spheres S n such that π nS(X) is infinite. We also prove that a stable isomorphism X ∨ X ≅ Y ∨ X implies a stable isomorphism X ≅ Y.

The classification of partially symmetric 3-braid links

86%

Stoimenov A.

Open Mathematics

2015

tom 13

nr 1

We classify 3-braid links which are amphicheiral as unoriented links, including a new proof of Birman- Menasco’s result for the (orientedly) amphicheiral 3-braid links. Then we classify the partially invertible 3-braid links.

Ograniczanie wyników

2 Open Mathematics

1 Drozd Y.

1 Kolesnyk P.

1 Stoimenov A.

1 2015

1 2012

Wyniki wyszukiwania

On genera of polyhedra

The classification of partially symmetric 3-braid links