Publicación:
EXPANSIVITY IN 2-METRIC SPACES

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dc.creatorDANTE CARRASCO OLIVERA
dc.date2015
dc.date.accessioned2025-01-10T14:39:35Z
dc.date.available2025-01-10T14:39:35Z
dc.date.issued2015
dc.description.abstractWE STUDY THE NOTION OF EXPANSIVITY FOR BOTH HOMEOMORPHISMS AND MEASURES ON 2-METRIC SPACES [8]. AT FIRST GLANCE WE SHOW THAT THERE ARE INFINITE COMPACT CONTINUOUS 2-METRIC SPACES EXHIBITING EXPANSIVE HOMEOMORPHISMS IN THE 2-METRIC SENSE (ROUGHLY SPEAKING 2-METRIC EXPANSIVE HOMEOMORPHISMS). NEXT WE PROVE THE ABSENCE OF EXPANSIVE MEASURES IN THE 2-METRIC SENSE (OR 2-METRIC EXPANSIVE MEASURES) FOR HOMEOMORPHISMS OF SK (K = 1,2) EQUIPPED WITH THE STANDARD TRIANGLE-AREA A INDUCED BY RK+1. WE THEN CONCLUDE THAT THERE ARE NO 2-METRIC EXPANSIVE HOMEOMORPHISMS OF (SK,A) FOR K = 1,2. FINALLY, IT IS PROVED THAT THE SET OF THE SET OF HETEROCLINIC POINTS FOR 2-METRIC EXPANSIVE HOMEOMORPHISMS ON COMPACT CONTINUOUS 2-METRIC SPACES IS COUNTABLE. THIS EXTENDS A WELL-KNOWN RESULT BY REDDY [19].
dc.formatapplication/pdf
dc.identifier.issn0019-5324
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8400
dc.languagespa
dc.publisherINDIAN JOURNAL OF MTHEMATICS
dc.rightsPUBLICADA
dc.titleEXPANSIVITY IN 2-METRIC SPACES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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