Download PDF by Dieudonne J.: Algebre lineare et geometrie elementaire

Geometry And Topology

By Dieudonne J.

Show description

Read or Download Algebre lineare et geometrie elementaire PDF

Similar geometry and topology books

Download PDF by Liang-shin Hahn: Complex Numbers and Geometry (MAA Spectrum Series)

The aim of this booklet is to illustrate that advanced numbers and geometry could be combined jointly superbly. This ends up in effortless proofs and normal generalizations of many theorems in airplane geometry, akin to the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem.

Extra info for Algebre lineare et geometrie elementaire

Sample text

This means that Heq is invariant under equivariant Reidemeister moves ER1, ER2 and ER3. March 27, 2007 11:10 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 24 Proof. As we have mentioned earlier, we only give an outline of the proof. 1,8 Let D and D′ be two periodic diagrams related by an equivariant Reidemeister move ERi, the idea is to construct a chain map ρ from (C ∗,∗ (D, F2 ), d) to (C ∗,∗ (D′ , F2 ), d) such that: • ρ induces an isomorphism ρ∗ in homology. • ρ is equivariant under the action of < ϕ >, thus it induces a map ρ between the quotient sub-complexes.

Birman and W. Menasco [2] extended the result of D. Bennequin [1] and showed that for 3-braid links, any minimal genus Seifert surface is realized as a Bennequin surface on a 3-braid. In [5], we showed that this result on 3-braids can not be extend to 4-braids (also done in [7]), by explicitly giving examples of 4-braid links having no Bennequin surface on 4-braid presentations. Our 4-braid examples had Bennequin surfaces carried on 5-braids. ) ∗ Partially supported by MEXT, Grant-in-Aid for Young Scientists (B) 1874035 March 4, 2007 11:41 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 44 Fig.

Consider the generalization of link homotopy known as self Ck -equivalence, introduced by Shibuya and the second author in [10]. Two links L and L are self Ck -equivalent if L is obtained from L by ambient isotopies and Ck moves, where all the arcs in the Ck -move belong to the same component of L. Milnor’s link homotopy invariants are very useful for studying link homotopy. In a similar way, Milnor numbers can be used to study self Ck equivalence. Given a multi-index I, let r(I) denote the maximum number of times that any index appears in I.

Download PDF sample

Algebre lineare et geometrie elementaire by Dieudonne J.


by Kenneth
4.1

Rated 4.88 of 5 – based on 4 votes