Quasisymmetric functions from a topological point of view

Quasisymmetric Functions from a Topological Point of View

It is well-known that the homology of the classifying space of the unitary group is isomorphic to the ring of symmetric functions Symm. We offer the cohomology of the space ΩΣCP as a topological model for the ring of quasisymmetric functions QSymm. We exploit standard results from topology to shed light on some of the algebraic properties of QSymm. In particular, we reprove the Ditters conjectu...

Covering Rough Sets From a Topological Point of View

—Covering-based rough set theory is an extension to classical rough set. The main purpose of this paper is to study covering rough sets from a topological point of view. The relationship among upper approximations based on topological spaces are explored.

Super- and sub-additive transformations of aggregation functions from the point of view of approximation

The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infima taken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hard to determine in general. In this note we discuss methods of algorithmic approximation of such transformations.

Torelli's Theorem from the Topological Point of View

ABSTRACT: From a multimodal point of view, the functions which

From a multimodal point of view, the functions which have generally been attributed to linguistic elements of discourse (known, as a rule, as discourse markers or connectors within the several discourse analytic theories) can also be fulfilled by prosody and nonverbal units. These types of discourse functions, here called interactive conversational signals, a subgroup of the conversational sign...