Compact-open versus $k$-compact-open

On fuzzy compact-open topology

The concept of fuzzy compact-open topology is introduced and some characterizations of this topology are discussed.

Compact Open Topology and Cw Homotopy Type

On the Duality of Compact vs. Open

It is a pleasant fact that Stone-duality may be described very smoothly when restricted to the category of compact spectral spaces: The Stoneduals of these spaces, arithmetic algebraic lattices, may be replaced by their sublattices of compact elements thus discarding infinitary operations. We present a similar approach to describe the Stone-duals of coherent spaces, thus dropping the requiremen...

The Entropy of Co-Compact Open Covers

Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required). This is achieved through the consideration of co-compact covers of the space. The advantages of co-compact entropy include: (1) it does not require the space to be compact and, thus, generalizes Adler, Konhe...

The cyclic compact open-shop scheduling problem

We consider a variation of the classical nonpreemptive open-shop scheduling problem. For the normal open shop, finding whether a schedule exists in T time units is NP-complete [2]. The main difference with the classical model is that we will consider so-called periodical or cyclic schedules; this means that the schedule obtained is repeated periodically. If the length of a period is k time unit...