The Similarity Boundary of a Self-Similar Set

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dc.creatorKeesling, J. E.
dc.creatorKrishnamurthi, C.
dc.date1999-07-16
dc.date.accessioned2026-07-07T05:29:56Z
dc.date.available2026-07-07T05:29:56Z
dc.descriptionWe define the similarity boundary of a self-similar set and use it to analyze the properties of self-similar sets in the general setting of any complete metric space. The similarity boundary is an attempt at extending the concept of the topological boundary in a way that is consistent with our intuitive understanding of the term boundary. We also show how with the analysis of the similarity boundary, we can restrict ourselves to the space $K$ and disregard the ambient space.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/9907111
dc.identifierhttp://arxiv.org/abs/math/9907111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78838
dc.subjectDynamical Systems
dc.subjectGeneral Topology
dc.subject28A78 54E40 (Primary) 54H15 (Secondary)
dc.titleThe Similarity Boundary of a Self-Similar Set
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