This is a preview. Log in through your library . Abstract Results are obtained which given an upper bound on the number of compact subsets of a topological space in terms of other cardinal invariants.

Cameron and Erdős raised the question of how many maximal sum-free sets there are in {1,..., n}, giving a lower bound of 2⌊n/4⌋. In this paper we prove that there are in fact at most 2(1/4+o(1))n ...

Quantum modular forms have emerged as a versatile framework that bridges classical analytic number theory with quantum topology and mathematical physics. Initially inspired by the pioneering work on ...