# All Questions

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### Does $\kappa$-Knaster $\implies$ $\lambda$-Knaster, for $\lambda > \kappa$?

Recall that a forcing notion $P$, satisfies the $\kappa$-Knaster if for any $A \subseteq P$ of size $\kappa,$ there is $B\subseteq A$ of size $\kappa$, any two elements in $B$ are compatible. ...
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I'd really like to learn to read theorys of mathematics I just don't know where to start I'm very good at math and I pick up on things very well I just don't know where to start
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### Can there be a tree of height $\omega_2$ having all levels countable, with no cofinal branch?

For many years I had the idea that if a well-founded tree is both very tall and very narrow, then it must have a cofinal branch. For example, it is a fun exercise to show that any $\omega_1$-tree ...
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### About properties of polynomials with common interlacing

Say $\{a_1,a_2,..,a_n\}$ and $\{b_1,b_2,...,b_n\}$ be the real roots of two monic polynomials of degree $n$ which have a common interlacing. (say I have arranged the roots in increasing order) Can ...
A Segal precategory is just a simplicial space $X:\Delta^{op} \to sSet$ such that its $0$-th space is discrete (i.e. constant). A Segal category is defined everywhere in the literature as a Segal ...