Hereditary separability in Hausdorff continua | Zendy

D. Daniel | Zendy; Murat Tuncalı | Zendy

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Hereditary separability in Hausdorff continua

Author(s) -

D. Daniel,

Murat Tuncalı

Publication year - 2013

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2012.1638

Subject(s) - mathematics , hausdorff space , separable space , urysohn and completely hausdorff spaces , subspace topology , pure mathematics , hausdorff distance , monotonic function , property (philosophy) , hausdorff dimension , combinatorics , hausdorff measure , mathematical analysis , philosophy , epistemology

We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta also have this property. Our study focuses on the structure of such spaces that also possess one of various rim properties, with emphasis given to rim-separability. In so doing we obtain analogues of results of M. Tuncali and I. Loncar, respectively

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