Continuous Functions on the Sphere and Isometries
Keyword(s):
The theorem of Borsuk-Ulam states that n odd functions on the n-dimensional sphere always have a common zero. We have tried to obtain a similar theorem by "slightly" changing the conditions for the functions, but it turned out that only a very weak analogue can be expected in our case. Here we want to prove a few results and mention some of the questions which have remained unanswered.
2020 ◽
Vol 23
(3)
◽
pp. 306-311
2010 ◽
Vol 47
(3)
◽
pp. 289-298
◽
2021 ◽
Vol 7
(1)
◽
pp. 88-99
Keyword(s):
Keyword(s):
Keyword(s):