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Hairy ball theorem

Known as: Hairy ball, Hairy billiard ball, Hairy balls 
The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. For… 
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Related topics

Related topics

4 relations
Betti numberBrouwer fixed-point theoremEuler characteristicFixed point (mathematics)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Another Short Proof of the Hairy Ball Theorem
Abstract We show how the assumption of the existence of a continuous unit tangent vector field on the sphere leads to an explicit… 
2016
2016
Metabolic engineering and elucidation of the terpenoid indole alkaloid pathway in Catharanthus roseus hairy roots
................................................................................................................................................. ii ACKNOWLEDGEMENTS .......................................................................................................................... v 1. CHAPTER 1 CONCLUSIONS ................................................................................................................. 1 REFERENCES .............................................................................................................................................. 3 
2014
2014
Analysis of the 3' end regions of the GDF9 and BMPR1B genes in Blackbelly sheep from Yucatán, Mexico
La mutacion FecB del gen BMPR1B es conocido como "Boorola", y fue identificada por primera vez en la oveja Merino; las mutaciones… 
2010
2010
Integrated Management Approach for Control of the Pest Complex of Olitorius Jute, Corchorus Olitorius L.
Field trials were conducted with six treatments against the pest complex of olitorius jute var. JRO-524 during 2004 and 2005 at… 
2010
2010
Evaluation of Imazosulfuron for Yellow Nutsedge (Cyperus esculentus) and Broadleaf Weed Control in Potato
Abstract Field studies were conducted in 2007 and 2008 near Nyssa, OR, and Pasco and Paterson, WA to evaluate yellow nutsedge and… 
2010
2010
Novel strategy for tailoring of SiO 2 and TiO 2 nanoparticle surfaces with poly(
Anovel strategywas developed for tailoring of SiO2 and TiO2 nanoparticle surfaces with poly(ε-caprolactone) (PCL). Thus, a self… 
2002
2002
GERMINATION REQUIREMENTS OF LABORATORY STORED SEEDS OF SOLANUM NIGRUM AND SOLANUM PHYSALIFOLIUM
As part of a study of the biology of black nightshade ( Solanum nigrum) and hairy nightshade (Solanum physalifolium) in New… 
2002
2002
Marketable yields of fresh-market tomatoes grown in plastic and hairy vetch mulches
The use of mulches in vegetable production is undergoing a radical change away from high-input, nonrenewable resources, such as… 
1999
1999
Production of flavonoids by Psoralea hairy root cultures
Eighteen transformed root cultures from 7 Psoralea plant species (Leguminosae) were established with the objective of producing… 
Review
1991
Review
1991
Habitat association patterns of breeding birds and small mammals in Douglas-fir/hardwood stands in northwestern California and southwestern Oregon
We surveyed birds and small mammals in 45 forest stands from southern Oregon, near Cave Junction, south into northern California… 
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