Journal of the
Korean Mathematical Society JKMS

We study the metrical and topological pressure for flows without fixed points on a compact metric space, and get the results as follows: (1) The metrical pressure with respect to an ergodic measure can be defined by $(t,\varepsilon)$-spanning sets. (2) The topological pressure is the supremum of metrical pressures with respect to all ergodic measures. (3) The properties that the topological pressure is zero, nonzero, finite or infinite respectively are invariant under weak equivalence.

Keywords: flows, weak equivalence, metrical pressure, topological pressure

MSC numbers: Primary 28D20; Secondary 28D10, 54H20