scholarly journals Monotonicity of the Schwarz genus

2019 ◽  
Vol 148 (3) ◽  
pp. 1339-1349
Author(s):  
Petar Pavešić
Keyword(s):  
Schwarz Genus

scholarly journals FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS

2018 ◽  
Vol 61 (03) ◽  
pp. 727-742
Author(s):  
PINKA DEY ◽  
MAHENDER SINGH
Keyword(s):  
Hausdorff Space ◽  
Euclidean Plane ◽  
Orbit Space ◽  
Complex Case ◽  
Compact Groups ◽  
Cohomology Algebra ◽  
Coincidence Points ◽  
Equivariant Maps ◽  
Schwarz Genus ◽  
Free Actions

AbstractIn this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the orbit space of an arbitrary free ℤ2 and $\mathbb{S}^1$-action on a compact Hausdorff space with mod 2 cohomology algebra of a real or a complex Milnor manifold. As applications, we deduce some Borsuk–Ulam type results for equivariant maps between spheres and these spaces. For the complex case, we obtain a lower bound on the Schwarz genus, which further establishes the existence of coincidence points for maps to the Euclidean plane.

scholarly journals The Schwarz genus of the Stiefel manifold

2013 ◽  
Vol 160 (18) ◽  
pp. 2340-2350 ◽  
Author(s):  
Pavle V.M. Blagojević ◽  
Roman N. Karasev
Keyword(s):  
Stiefel Manifold ◽  
Schwarz Genus
Sign in / Sign up

Export Citation Format

Share Document