A topology on a vector space
for which the vector operations are only separately continuous is called a quasivector
topology. Some version of most of the usual results for topological vector spaces is
obtained for these topologies. Convergence structures which are more general than
topologies can be used to obtain results about quasivector topologies and this
relationship is described and used. The techniques are motivated by certain
quasivector topologies which occur in functional analysis and references are given to
these occurrences.
