Recent content by hedipaldi

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    Graduate Transitive subgroup of the symmetric group

    Hi, I need help in proving the following statement: An abelian,transitive subgroup of the symmetric group Sn is cyclic,generated by an n-cycle. Thank's in advance
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    Graduate Quotient space of the unit sphere

    Thank's
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    Graduate Quotient space of the unit sphere

    prove that the quotient space obtained by identifying the points on the southern hemisphere, is homeomorphic to the whole sphere.I am trying to define a homeomorphism between the quotient space and the sphere,and i need help doing it. Thank's in advance.
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    Graduate Convergence Criteria for Box Topology on R^ω

    I am trying to show tha the coorinates Xn,m=X0,m for n and m greater from som M and N.(where Xn converges to X0 in the box topology)
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    Graduate Convergence Criteria for Box Topology on R^ω

    Hi, What are the convergent sequences in the box topology on R^ω?Are they the eventually constant only? Thank's in advance
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    Undergrad Determinant of a unit columns matrix

    You mean to decomposite the euclidean space to direct sum ,using torthogonal space of each vector? If not,can you specify more?
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    Undergrad Determinant of a unit columns matrix

    Yes,i know that but i am searching for a proof.
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    Undergrad Determinant of a unit columns matrix

    If all columns of a matrix are unit vectors, the determinant of the matrix is less or equal 1 I am trying to prove this assertion,which i guess to be true. can anybody help me? Thank's in advance
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    Matrix Logarithm: Proving Continuity for Operator Norm < 1

    I mean,continuously differentiable as an operator,that is, the derivative is continuous as a function of the matrix A.I will be glad if you send me a more specific hint.
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    Matrix Logarithm: Proving Continuity for Operator Norm < 1

    And how do i do that?
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    Matrix Logarithm: Proving Continuity for Operator Norm < 1

    Homework Statement Hi, how can i show that the matrix logarithm log(I+A) is continuously differentiable on the set of matrices having operator norm less than 1. Homework Equations http://planetmath.org/matrixlogarithm The Attempt at a Solution i tried to compute the...
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    Graduate Hausdorff dimension of the cantor set

    Hi, Using the definition of Hausdorff measure: http://en.wikipedia.org/wiki/Hausdorff_measure I am looking for a simple proof that Hd(C) is greater than 0, where C is the Cantor set and d=log(2)/log(3) Thank's in advance
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    Graduate Why Are the Definitions of Hausdorff Dimension Equivalent?

    Hi, I am trying to understand why do the two versions of Hausdorff (fractal) dimension are actually the same.I refer to the definition by coverings and the definition by ratio of two logarythms. http://en.wikipedia.org/wiki/Hausdorff_measure...
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    Undergrad What is the concept of fractal dimension and how is it computed?

    Hi, Can someone give me a link to a clear and relatively basic and short matirial introducing the notion of fractal dimension (Hausdorff dimension)? Thank's in advance.
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    Graduate Can the rational numbers be embedded in a countable complete metric space X?

    But Cauchy sequence in Q may not be Cauchy in the complete space.Homeomorphism preserves the topology,not the metric.