Document Type

Article

Language

eng

Format of Original

10 p.

Publication Date

2011

Publisher

Springer

Source Publication

Archive for Mathematical Logic

Source ISSN

0933-5846

Original Item ID

doi: 10.1007/s00153-011-0229-8

Abstract

Many properties of compacta have “textbook” definitions which are phrased in lattice-theoretic terms that, ostensibly, apply only to the full closed-set lattice of a space. We provide a simple criterion for identifying such definitions that may be paraphrased in terms that apply to all lattice bases of the space, thereby making model-theoretic tools available to study the defined properties. In this note we are primarily interested in properties of continua related to unicoherence; i.e., properties that speak to the existence of “holes” in a continuum and in certain of its subcontinua.

Comments

Accepted version. Archive for Mathematical Logic, Vol. 50, No. 3-4 (2011): 503-512. DOI. © Springer 2011. Used with permission.

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