45 citations · 175 across the 43 of their papers we have counts for
Showing 2001 · math.ATShow all
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math.AT2001
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…
math.AT2001
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.
math.AT2001
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…