## Illinois Journal of Mathematics, Volume 4 |

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### Contents

Hilton P J with Berstein I Category and generalized Hopf | 21 |

Jenkins James A On the global structure of the trajectories of | 28 |

Kakutani Shizuo with Hewitt Edwin A class of multiplicative | 44 |

17 other sections not shown

### Common terms and phrases

abelian algebra Amer assume automorphism Borel boundary bounded Cartesian product chain coefficients cohomology operation commutative Moufang loop compact space completes the proof condition contains converges Corollary countable defined definition denote differential dimension domain element endomorphism of G equation equivalent exists fibre space finite number follows formula function given Hausdorff Hence homomorphism homotopy identity Illinois implies induced infinite integer inverse irreducible isomorphism lattice Lemma Let G linear locally convex space loop G loop word Math matrix measure space metric module Moufang loop multiplicative normal endomorphism normal subgroup notation o-convex obtain open set positive proof of Theorem Proposition prove quadratic differential representation result ring satisfies Schwartz distributions seminormal sequence sigma-algebra strongly normal structure subgroup subloop subset Suppose Theorem Theorem 3.1 theory tion topology transformation vector weakly subordinate zero