Metric and topological homology. Projectivity, injectivity and flatness

Banach模的投射性和内射性的近似刻画

Approximate characterizations of projectivity and injectivity for Banach modules

本文用近似的方法刻画了投射Banach模和内射Banach模，从而推广了F. Ghahramani和R. J. Loy作为推论，我们证明了每个一致近似服从的巴拿赫代数都是服从的.并给出了Banach模和代数的同调维数的一些应用。

Injectivity and projectivity in $p$-multinormed spaces

We find large classes of injective and projective $p$-multinormed spaces. In fact, these classes are universal, in the sense that every $p$-multinormed space embeds into (is a quotient of) an injective (resp. projective) $p$-multinormed space. As a consequence, we show that any $p$-multinormed space has a canonical representation as a subspace of a quotient of a Banach lattice.