scholarly journals Suborbits in Knaster's problem

2013 ◽  
Vol 46 (2) ◽  
pp. 269-278 ◽  
Author(s):  
Boris Bukh ◽  
Roman N. Karasev
Keyword(s):  
Knaster’S Problem

scholarly journals Knaster's problem for almost (Zp)k-orbits

2010 ◽  
Vol 157 (5) ◽  
pp. 941-945 ◽  
Author(s):  
R.N. Karasev ◽  
A.Yu. Volovikov
Keyword(s):  
Knaster’S Problem

scholarly journals On Knaster’s problem

2016 ◽  
Vol 99 (113) ◽  
pp. 43-49
Author(s):  
Marija Jelic
Keyword(s):  
Sufficient Conditions ◽  
Positive Answer ◽  
Equivariant Mapping ◽  
Knaster’S Problem ◽  
Special Case

Dold?s theorem gives sufficient conditions for proving that there is no G-equivariant mapping between two spaces. We prove a generalization of Dold?s theorem, which requires triviality of homology with some coefficients, up to dimension n, instead of n-connectedness. Then we apply it to a special case of the famous Knaster?s problem, and obtain a new proof of a result of C.T. Yang, which is much shorter and simpler than previous proofs. Also, we obtain a positive answer to some other cases of Knaster?s problem, and improve a result of V.V. Makeev, by weakening the conditions.

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