A generalization of Lie theory
A generalization of main theorems in Lie theory
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The notion of generalized group was introduced by Professor Molaei. After that he introduced top spaces as a generalization of Lie groups in 2004. A top space is a generalized group and a smooth manifold that its multiplication and inverse maps are smooth. In this book we give a review of recent works on top spaces with finite number of identities and a kind of top spaces with infinte number of identities (right top spaces).
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