TY - JOUR
T1 - Categories of inverse systems of compacta with upper semi-continuous bonding functions
AU - Maehara, Yuki
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2016/5/15
Y1 - 2016/5/15
N2 - We define a category G(Λ) of inverse systems of compacta with upper semi-continuous bonding functions indexed by a given directed set Λ so that the topological generalisation of inverse limits proposed by Mahavier can be characterised by a certain universal property in this category. Our defining new category is justified by generating a class of inverse systems that do not have a categorical limit in the usual sense. We also construct a category Gpro in analogy with pro-categories in an attempt to derive generalisations of some results on classical inverse limits.
AB - We define a category G(Λ) of inverse systems of compacta with upper semi-continuous bonding functions indexed by a given directed set Λ so that the topological generalisation of inverse limits proposed by Mahavier can be characterised by a certain universal property in this category. Our defining new category is justified by generating a class of inverse systems that do not have a categorical limit in the usual sense. We also construct a category Gpro in analogy with pro-categories in an attempt to derive generalisations of some results on classical inverse limits.
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U2 - 10.1016/j.topol.2016.02.007
DO - 10.1016/j.topol.2016.02.007
M3 - Article
AN - SCOPUS:84959178905
SN - 0166-8641
VL - 204
SP - 23
EP - 40
JO - Topology and its Applications
JF - Topology and its Applications
ER -