Categories of inverse systems of compacta with upper semi-continuous bonding functions

Yuki Maehara*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We define a category GΛ) 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.

Original languageEnglish
Pages (from-to)23-40
Number of pages18
JournalTopology and its Applications
Volume204
DOIs
Publication statusPublished - 15 May 2016
Externally publishedYes

Keywords

  • category
  • inverse system
  • generalised inverse limit

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