Recent content by bigli

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    M. Spivak, problem 25 chapter 2

    Please! think about and answer to main problem in my first post and attend to my notes in my second post.
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    M. Spivak, problem 25 chapter 2

    http://trainbit.com/files/0810149884/Emb_Submanifold.jpg
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    M. Spivak, problem 25 chapter 2

    How can I show that the set {(x,|x|) , x in real numbers} is not the image of any immersion of R into R^2 ? problem 25 chapter 2 differential geometry M. Spivak
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    Continuous functions on Munkres's book

    This is not a homework but it is a question in my mind.please guide me. Let X and Y be topological spaces,let f : X -----> Y is a function. when the following statements are equivalent?: 1) f is continuous 2) f(A') is subset of f(A)' ,for every A subset of X. Symbols: A' i.e...
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    Angle preserving transformations

    If x,y of R^n (as a normed vector space) are non-zero, the angle between x and y, denoted <(x,y), is defined as arccos x.y/(|x||y|). The linear transformation T :R^n----->R^n is angle preserving if T is 1-1, and for x,y of R^n (x,y are non zero) we have <(Tx,Ty) = <(x,y). what are...
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    Angle preserving linear transformations

    If x,y of R^n (as a normed vector space) are non-zero, the angle between x and y, denoted <(x,y), is defined as arccos x.y/(|x||y|). The linear transformation T :R^n----->R^n is angle preserving if T is 1-1, and for x,y of R^n (x,y are non...
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    How do stick I a link to my posts?

    test this is a test,example:[PLAIN]www.//physicsforums.com/[/URL]
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    Learn About Grassmann Manifolds: Intro, Charts, Atlas

    the book name what is your book name that introduce to me ??
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    How do stick I a link to my posts?

    how do stick I a link to my posts?
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    Learn About Grassmann Manifolds: Intro, Charts, Atlas

    I need to following subjects about GRASSMANN MANIFOLDS,what do I? 1)introduction(together with details) 2)charts,atlas(together with details) 3)depended subjects
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    Smooth Atlas of Differentiable Manifold M

    problem is to find a suitable function that must to be differentiable itself and its inverse.but how function and its inverse to be differentiable at (0,0)?
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    Smooth Atlas of Differentiable Manifold M

    How am I use open sets for (0,0) of M?
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    Smooth Atlas of Differentiable Manifold M

    can you be given a suitable smooth atlas to the subset M of plane that M to be a differentiable manifold? M={(x,y);y=absolute value of (x)}
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