INVERSE LIMITS IN THE CATEGORY OF COMPACT HAUSDORFF SPACES AND UPPER SEMICONTINUOUS FUNCTIONS

DOI10.1017/S0004972713000245zbMath1291.54028MaRDI QIDQ5406093

Iztok Banič, Tina Sovič

Publication date: 1 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

categoryinverse limitsgeneralized inverse limitsupper semicontinuous functionsweak inverse limits

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Categorical methods in general topology (54B30)

Related Items (4)

Categories of inverse systems of compacta with upper semi-continuous bonding functions ⋮ Mahavier completeness and classifying diagrams ⋮ Big and large continua in inverse limits of inverse systems over directed graphs ⋮ Unnamed Item

Cites Work

• Paths through inverse limits
• Finite graphs that are inverse limits with a set valued function on \([0,1\).]
• Limits of inverse limits
• Inverse limits with subsets of \([0,1\times[0,1]\)]
• Towards the complete classification of generalized tent maps inverse limits
• On dimension of inverse limits with upper semicontinuous set-valued bonding functions
• An Introduction to Inverse Limits with Set-valued Functions
• A circle is not the generalized inverse limit of a subset of [0,1²]
• Inverse limits as limits with respect to the Hausdorff metric

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