dc.contributor.author | Charatonik, WJ | |
dc.date.accessioned | 2011-01-22T10:27:49Z | |
dc.date.available | 2011-01-22T10:27:49Z | |
dc.date.issued | 1998 | |
dc.identifier.issn | 0035-7596 | |
dc.identifier.uri | http://hdl.handle.net/11154/2759 | |
dc.description.abstract | We say that a continuum X has the are approximation property if every subcontinuum K of X is the limit of a sequence of arcwise connected subcontinua of X all containing a fixed point of K. This property is applied to exhibit a class of continua Y such that confluence of a mapping f : X --> Y implies confluence of the induced mappings 2(f) : 2(X) --> 2(Y) and C(f) : C(X) --> C(Y). The converse implications are studied and similar interrelations are considered for some other classes of mappings, related to confluent ones. | en_US |
dc.language.iso | en | en_US |
dc.title | Arc approximation property and confluence of induced mappings | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 2819 | |
dc.source.novolpages | 28(1):107-154 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | approximation | |
dc.subject.keywords | arcwise connected | |
dc.subject.keywords | confluent | |
dc.subject.keywords | continuum | |
dc.subject.keywords | hyperspace | |
dc.subject.keywords | induced mapping | |
dc.subject.keywords | joining | |
dc.subject.keywords | pseudo-confluent | |
dc.subject.keywords | semi-confluent | |
dc.subject.keywords | weakly confluent | |
dc.subject.keywords | n-weakly confluent | |
dc.relation.journal | Rocky Mountain Journal of Mathematics |
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