query: What are lattices called that are isomorphic to the open sets of a topology?
positive_passages.docid: 25256
positive_passages.text: When a lattice is a lattice of open sets of some topological space?
negative_passages.docid: 37654
negative_passages.text: Topology: Example of a compact set but its closure not compact
negative_passages.docid: 2198
negative_passages.text: Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
negative_passages.docid: 80860
negative_passages.text: How to call a space in which every G$_\kappa$-set is open
negative_passages.docid: 52388
negative_passages.text: The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
negative_passages.docid: 112050
negative_passages.text: Union of ascending chain of Topologies
negative_passages.docid: 84104
negative_passages.text: Definition of neighborhood and open set in topology
negative_passages.docid: 120345
negative_passages.text: Topology induced by seminorms and initial topology
negative_passages.docid: 16654
negative_passages.text: Unions and Intersections of Open Sets are Open
negative_passages.docid: 113915
negative_passages.text: A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$
negative_passages.docid: 64261
negative_passages.text: example of not surjective isometry on a bounded not closed set.
negative_passages.docid: 49220
negative_passages.text: Open Sets of $\mathbb{R}^1$ and axiom of choice
negative_passages.docid: 90782
negative_passages.text: Examples of topologies in which all open sets are regular?
negative_passages.docid: 60692
negative_passages.text: Is this map to a finite dimensional topological vector space an open map?
negative_passages.docid: 128730
negative_passages.text: Open subspaces of locally compact Hausdorff spaces are locally compact
negative_passages.docid: 67279
negative_passages.text: Is the union of finitely many open sets in an omega-cover contained within some member of the cover?
negative_passages.docid: 149980
negative_passages.text: Are there any countable Hausdorff connected spaces?