45 citations · 175 across the 43 of their papers we have counts for
6 papers · 1 filter
Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds
John Oprea, Yuli Rudyak
In this paper, we give a new simplified calculation of the Lusternik-Schnirelmann category of closed 3-manifolds. We also describe when 3-manifolds have detecting elements and prov…
Symplectically harmonic cohomology of nilmanifolds
R. Ibáñez, Yu. Rudyak, A. Tralle +1
This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it…
On sequences cat (f\sp k)
Yuli B. Rudyak
We prove that, for every decreasing sequence {a \sb k} of natural numbers, there exists a map f: X --> X with cat (f\sp k)=a\sb k.
On the minimal number of critical points of functions on h-cobordisms
P. E. Pushkar, Yu. B. Rudyak
Let (W,M,M'), dim W > 5, be a non-trivial h-cobordism (i.e., the Whitehead torsion of (W,V) is non-zero). We prove that every smooth function f: W --> [0,1], f(M)=0, f(M')=1 has at…
Piecewise linear structures on topological manifolds
Yuli B. Rudyak
This is a survey paper where we expose the Kirby--Siebenmann results on classification of PL structures on topological manifolds and, in particular, the homotopy equivalence TOP/PL…
Symplectically aspherical manifolds
Raúl Ibáñez, Jarek Kȩdra, Yuli Rudyak +1
The main subjects of the paper is studying the fundamental groups of closed symplectically aspherical manifolds. Motivated by some results of Gompf, we introduce two classes of fun…