On the hierarchy of d-structures (Q523153)
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scientific article; zbMATH DE number 6706488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the hierarchy of d-structures |
scientific article; zbMATH DE number 6706488 |
Statements
On the hierarchy of d-structures (English)
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20 April 2017
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The authors study several lattice structures arising from d-spaces (topological spaces equipped with a set of paths satisfying several conditions given in Definition 2.1). From the abstract: ``The set of d-structures on a topological space is a Heyting algebra. [\dots~] There is a Galois connection between the lattice of subsets of the space and the lattice of d-structures.'' Some examples and applications are also discussed.
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d-structure
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Heyting algebra
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Galois connection
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directed topology
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persistent homology
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