DSpace Collection:
http://hdl.handle.net/10077/4280
Mon, 30 Jan 2023 11:50:39 GMT2023-01-30T11:50:39ZOn Hyperbolic 3-Orbifolds of Small Volume and Small Heegaard Genus
http://hdl.handle.net/10077/4294
Title: On Hyperbolic 3-Orbifolds of Small Volume and Small Heegaard Genus
Authors: Zimmermann, Bruno
Abstract: In the present note we shall give geometric descriptions
of the orientable hyperbolic 3-orbifolds of smallest known
volumes. As in the case of hyperbolic 3-manifolds, the hyperbolic
3-orbifolds of smallest volumes are still not known but there is
some evidence that our list should be complete (however in some
cases the volumes have not yet been computed). We note that the
natural candidates for the ten orientable hyperbolic 3-manifolds
of smallest volumes have been described in [6] (all of Heegaard
genus two). In the following, we shall consider only orientable
orbifolds. Computations of volumes are based on the recent papers
[11], [9] and [14].Mon, 01 Jan 2001 00:00:00 GMThttp://hdl.handle.net/10077/42942001-01-01T00:00:00ZHow Many Closed Structures does the Construct PRAP Admit?
http://hdl.handle.net/10077/4293
Title: How Many Closed Structures does the Construct PRAP Admit?
Authors: Sioen, Mark
Abstract: We will prove that the topological construct PRAP,
introduced by E. and R. Lowen in [9] as a numerification supercategory
of the construct PRTOP of convergence spaces and
continuous maps, admits a proper class of monoidal closed structures.
We will even show that under the assumption that there
does not exist a proper class of measurable cardinals, it admits a
proper conglomerate (i.e. one which is not codable by a class)
of mutually non-isomorphic monoidal closed structures. This
severely contrasts with the situation concerning symmetric monoidal
closed structures, because it is shown in [13] that PRAP
only admits one symmetric tensorproduct, up to natural isomorphism.Mon, 01 Jan 2001 00:00:00 GMThttp://hdl.handle.net/10077/42932001-01-01T00:00:00ZA Connected, not Separably Connected Metric Space
http://hdl.handle.net/10077/4292
Title: A Connected, not Separably Connected Metric Space
Authors: Simon, Petr
Abstract: A separably connected space is a topological space, where
every two points may be joined by a separable connected subspace.
We present an example of a connected, but not separably
connected metric space and of a connected metric space, which
contains no connected separable subspaces other than one-point
ones.Mon, 01 Jan 2001 00:00:00 GMThttp://hdl.handle.net/10077/42922001-01-01T00:00:00ZThe Cartesian Closed Topological Hull of the Category of (Quasi-)Uniform Spaces (Revisited)
http://hdl.handle.net/10077/4291
Title: The Cartesian Closed Topological Hull of the Category of (Quasi-)Uniform Spaces (Revisited)
Authors: Nauwelaerts, Mark
Abstract: This paper provides a concrete description of the cartesian
closed topological hull of qUnif, the category of quasi-uniform
spaces and uniformly continuous maps, inside q(S)ULim,
the category of quasi-(semi-)uniform limit spaces and uniformly
continuous maps, which also allows to derive a similar and new
description of the CCT hull of Unif inside (S)ULim. In both
cases, the objects of the CCT hull are (quasi-)(semi-)uniform
limit spaces whose collection of filters satisfies some natural closure
condition, related to the (q)Unif-bireflection of the space in
question.Mon, 01 Jan 2001 00:00:00 GMThttp://hdl.handle.net/10077/42912001-01-01T00:00:00Z