6533b823fe1ef96bd127f81e

RESEARCH PRODUCT

Cascades and multifilters

Frédéric MynardSzymon Dolecki

subject

Set (abstract data type)Operations researchConvergence (routing)MultifilterGeometry and TopologyFilter (mathematics)TopologyMultisequenceMathematics

description

Abstract Cascades (trees every element of which is a filter on the set of its successors), and multifilters, maps from cascades, are introduced. Multisequences constitute a special case of multifilters. Applications to convergence and to topology are indicated.

10.1016/s0166-8641(99)00020-6http://dx.doi.org/10.1016/S0166-8641(99)00020-6