458 citations
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- The University of OsakaJP9 papers
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4 papers · 1 filter
Characterizing indecomposable plane continua from their complements
Clinton P. Curry, John C. Mayer, E. D. Tymchatyn
We show that a plane continuum X is indecomposable iff X has a sequence (U_n) of not necessarily distinct complementary domains satisfying what we call the double-pass condition: I…
Extraordinary dimension theories generated by complexes
A. Chigogidze
We study the extraordinary dimension function dim_{L} introduced by Ščepin. An axiomatic characterization of this dimension function is obtained. We also introduce inductive dimens…
On simultaneous linear extensions of partial (pseudo)metrics
E. D. Tymchatyn, M. Zarichnyi
We consider the question of simultaneous extension of (pseudo)metrics defined on nonempty closed subsets of a compact metrizable space. The main result is a counterpart of the resu…
C*-algebras of infinite real rank
A. Chigogidze, V. Valov
We introduce the notion of weakly (strongly) infinite real rank for unital -algebras. It is shown that a compact space is weakly (strongly) infine-dimensional if and…