## A collection of mathematical problems |

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### Contents

Chapter | 1 |

The operation of direct product | 3 |

Productisomorphisms and some generalizations | 5 |

Copyright | |

64 other sections not shown

### Common terms and phrases

analogous approximability arbitrary assume asymptotic average axiom of choice behavior Boolean Borel sets calculation combinatorial computing machines conjugate consider construction contained continuous functions continuum continuum hypothesis corresponding countable curve decomposition defined dense dense set density differential equations dimensions direct product distance distribution elementary elements ergodic Euclidean space example exist finite number finite system fixed point fluid formulations given homeomorphisms infinite initial integers interesting interval invariant involving isometry isomorphic iterates large number Lebesgue Lebesgue measure linear lines of force mapping mass points mathematical measure function metric metric spaces motion nonlinear nonmeasurable number of points obtain operations particles permutations phase space physical plane player possible problems product-isomorphic projective algebra projective sets properties quantities question real numbers representation semi-group sense sequence of sets set theory solutions sphere subgroup theorem tion topological groups topological space transformation Ulam variables vector w-dimensional zero