16 citations · 33 across the 13 of their papers we have counts for
5 papers · 1 filter
Self-covering, finiteness, commutativity, and fibering over tori
Lizhen Qin, Yang Su
A topological space is called self-covering if it is a nontrivial cover of itself. We prove that, under mild assumptions, a closed self-covering manifold with an abelian fundamenta…
Self-Covering, finiteness, and fibering over a circle
Lizhen Qin, Yang Su, Botong Wang
A topological space is called self-covering if it is a nontrivial cover of itself. We prove that a closed self-covering manifold with free abelian fundamental group fibers over…
On the Associativity of Gluing
Lizhen Qin
This paper studies the associativity of gluing of trajectories in Morse theory. We show that the associativity of gluing follows from of the existence of compatible manifold with f…
An application of topological equivalence to Morse theory
Lizhen Qin
In a previous paper, under the assumption that the Riemannian metric is special, the author proved some results about the moduli spaces and CW structures arising from Morse theory.…
On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds
Lizhen Qin
This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain comp…