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Structure and homomorphisms of microbundles

Sergey Victor Ludkovski
Mar 2023
摘要
This article is devoted to investigations of a structure and homomorphisms ofmicrobundles. Microbundles are generalizations of manifolds. For manifolds itwas studied when their families of homomorphism can be supplied with themanifold structure. But for microbundles this problem was not yet investigated.Continuous homomorphisms of microbundles are studied. Topologies on families ofhomomorphisms of microbundles are investigated. Relations of their structurewith microbundles are scrutinized. Necessary and sufficient conditions arestudied under which families of homomorphism of microbundles in their turn canbe supplied with a microbundle structure.
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