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.
Recommended Citation
Bankston, Paul, "On the First-order Expressibility of Lattice Properties to Unicoherence in Continua" (2011). Mathematics, Statistics and Computer Science Faculty Research and Publications. 46.
https://epublications.marquette.edu/mscs_fac/46
Comments
Accepted version. Archive for Mathematical Logic, Vol. 50, No. 3-4 (2011): 503-512. DOI. © 2011 Springer. Used with permission.
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