Resumen de On "weak" embeddings of L1

Volodymyr Mykhaylyuk, Mykhaylo Popov

• We study the relationships between some notions of "weak" embeddings (semi-embeddings, sign-embeddings, etc.) of the space of the Lebesgue summable functions on the unit segment. First kind of problems - which "weak" embeddings are automatically other ones - are simple and we answer them completely. The questions of the second kind - which "weak" embeddabilities imply others - are difficult and some of them remain still open.