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

VL - 204

SP - 23

EP - 40

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -