Displaying similar documents to “On the homeotopy group of the non orientable surface of genus three.”

Genus 2 Heegaard decompositions of small Seifert manifolds

Michel Boileau, D. J. Collins, H. Zieschang (1991)

Annales de l'institut Fourier

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The genus 2 Heegaard splittings and decompositions of Seifert manifolds over S with 3 exeptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.

Gauss Lemma and Law of Quadratic Reciprocity

Li Yan, Xiquan Liang, Junjie Zhao (2008)

Formalized Mathematics

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In this paper, we defined the quadratic residue and proved its fundamental properties on the base of some useful theorems. Then we defined the Legendre symbol and proved its useful theorems [14], [12]. Finally, Gauss Lemma and Law of Quadratic Reciprocity are proven.MML identifier: INT 5, version: 7.8.05 4.89.993

Modular Integer Arithmetic

Christoph Schwarzweller (2008)

Formalized Mathematics

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In this article we show the correctness of integer arithmetic based on Chinese Remainder theorem as described e.g. in [11]: Integers are transformed to finite sequences of modular integers, on which the arithmetic operations are performed. Retransformation of the results to the integers is then accomplished by means of the Chinese Remainder theorem. The method presented is a typical example for computing in homomorphic images.

Some results on the real K-theory of certain homogeneus spaces.

Michael Olusanya Ajetunmobi (1988)

Publicacions Matemàtiques

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Let F(n) be the incomplete complex flag manifold of length r in C. We make a start on the complete determination of the torsion part of the group KO(F(n)) giving results here when r = 2, 3.