papers

[Eduardo Dubuc <edubuc@dm.uba.ar>]

I call to your atention the following yet unpublished papers:

1. arXiv:0706.1771 [ps, pdf, other]
    Title: The fundamental progroupoid of a general topos
    Authors: Eduardo J. Dubuc
    Comments: 19 pages
    Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

Here we introduce a new notion of covering projections in a topos E. They
are a particular kind of locally constant objects. When the topos is
locally connected, all locally constant objects are covering projections.
Given a fix cover U = {U_i}, we show how to construct the set of connected
components in the topos E_U of covering projections trivialized by U, even
if the topos E is not locally connected. Our theory generalize to an
arbritrary topos the whole theory of the fundamental progroupoid known for
locally connected topos.

The following two papers are in the area of categorical topology, or
topological categories.

arXiv:math/0612727 [ps, pdf, other]
    Title: Quasitopoi over a base category
    Authors: Eduardo J. Dubuc, Luis Español
    Comments: 23 pages
    Subjects: Category Theory (math.CT)
3. arXiv:math/0611701 [ps, pdf, other]
    Title: Topological functors as familiarly-fibrations
    Authors: Eduardo J. Dubuc, Luis Español
    Comments: 16 pages
    Subjects: Category Theory (math.CT)