The problem of computing the degree of an equivariant mapping

1978 ◽  
Vol 19 (2) ◽  
pp. 299-306 ◽  
Author(s):  
T. N. Shchelokova
Keyword(s):  
Equivariant Mapping

scholarly journals Approximating equivariant mapping spaces

1990 ◽  
Vol 144 (1) ◽  
pp. 15-45
Author(s):  
Steven Costenoble ◽  
Stefan Waner ◽  
G. S. Wells
Keyword(s):  
Mapping Spaces ◽  
Equivariant Mapping

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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