We investigate the relations between certain bases and quasi-bases, prove that a space has finite rank base if and only if it has finite rank quasi-base, a space has an ortho-base if and only if it has an ortho-quasi-base.

• 摘要我们研究了某些基与拟基的关系，证明了空间具有有限秩的基当且仅当它有有限秩的拟基，空间具有正交基当且仅当它有正交的拟基。