This work extends the study of the structure of wall-bounded flows usi
ng the topological properties of eddying motions as developed by Chong
et al. (1990), Soria et al. (1992, 1994), and as recently extended by
Blackburn et al. (1996) and Chacin er al. (1996). In these works, reg
ions of flow which are focal in nature are identified by being enclose
d by an isosurface of a positive small value of the discriminant of th
e velocity gradient tenser. These regions resemble the attached vortex
loops suggested first by Theodorsen (1955). Such loops are incorporat
ed in the attached-eddy model versions of Perry & Chong (1982), Ferry
et al. (1986), and Ferry & Marusic (1995), which are extensions of a m
odel first formulated by Townsend (1976). The direct numerical simulat
ion (DNS) data of wall-bounded flows studied here are from the zero-pr
essure-gradient flow of Spalart (1988) and the boundary layer with sep
aration and reattachment of Na & Moin (1996). The flow structures are
examined from the viewpoint of the attached eddy hypothesis.