On Faded Cosheaves of Sets

Details On Faded Cosheaves of Sets On Faded Cosheaves of Sets

1999-01-24

arxiv.org/abs/math/9901103v1

Mathematics

General Topology

AMS-LaTeX, 3 pages, corrected abstract

Scientific paper

We prove that the category of faded cosheaves in Set over a sober topological space $(B,\Omega)$ is equivalent to a category Sett$(B,\Omega)$ having the same class of objects as Set$ / B$ has, but generally a wider class of morphisms. We also prove the converse: if each cosheaf over $T_0$-space $(B,\Omega)$ is isomorphic to the cosheaf of tubes of an appropriate map ranging in $(B,\Omega)$, then $(B,\Omega)$ is sober.

Affiliated with

Also associated with

No associations

Rating

On Faded Cosheaves of Sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Faded Cosheaves of Sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Faded Cosheaves of Sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637386