OPEN CONDITION ON VARIETY OF COMPLEXES

Abstract

Let Λ be an algebra over an algebraically closed field. In this paper we

study about the open condition on the collection of all Λ-homomorphisms

from Λ-module M to Λ-module N and on the collection of variety of com

plexes. Moreover, we show that the function of rank and the function of

dimension of homology are lower and upper semi continuous, respectively