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Results tagged with set-theory
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user 3685
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
4
votes
2
answers
452
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A family of subsets with a "gluing" property
Somewhat in line with this previous MathOverflow question:
I'm looking at a combinatorial structure consisting of a finite set $S$ of objects, and a family $F$ of designated subsets of $S$. We call e …
- 306
8
votes
What are interesting families of subsets of a given set?
I rather like (abstract) simplicial complexes. A simplicial complex is a family of sets which is closed under taking subsets: $X\in\mathcal{F}$ and $Y \subset X$ implies $Y\in\mathcal{F}$.
You might …
- 306