4 citations · 9 across the 5 of their papers we have counts for
6 papers
On equivariant fibrations of -CW-complexes
Pavel S. Gevorgyan, Rolando Jimenez
It is proved that if is a compact Lie group, then an equivariant Serre fibration of -CW-complexes is an equivariant Hurewicz fibration in the class of compactly generated $G…
On invariant (co)homology of a group
Carlos Aquino, Rolando Jimenez, Martin Mijangos +1
There are different notions of homology and cohomology that can be defined for a group with an action of another group by group automorphisms. In this paper we address three natura…
Geometry of central extensions of nilpotent Lie algebras
D. V. Millionshchikov, R. Jimenez
We obtain a recurrent and monotone method for constructing and classifying nilpotent Lie algebras by means of successive central extensions. It consists in calculating the second c…
Free and properly discontinuous actions of groups on homotopy -spheres
Marek Golasinski, Daciberg Lima Goncalves, Rolando Jimenez
Let be a group acting freely, properly discontinuously and cellularly on a finite dimensional W-complex which has the homotopy type of the - sphere $\mathbb{S}^{…
Splitting along a submanifold pair
R. Jimenez, Yu. V. Muranov, D. Repovš
The paper introduces a group of obstructions for splitting a homotopy equivalence along a pair of submanifolds. We develop exact sequences relating the -groups with vari…
Surgery spectral sequence and stratified manifolds
R. Jimenez, Yu. V. Muranov, D. Repovš
Cappell and Shaneson pointed out in 1978 interesting properties of Browder - Livesay invariants which are similar to differentials in some spectral sequence. Such spectral sequence…