2 papers
math.AT2025
Dowker's theorem for higher-order relations
Vin de Silva, Chad Giusti, Vladimir Itskov +5
Given a relation between two sets, Dowker's Theorem (1952) states that the homology groups of two associated simplicial complexes, now known as Dowker comp…
q-bio.NC2025
Tracking the topology of neural manifolds across populations
Iris H. R. Yoon, Gregory Henselman-Petrusek, Yiyi Yu +3
Neural manifolds summarize the intrinsic structure of the information encoded by a population of neurons. Advances in experimental techniques have made simultaneous recordings from…