[Settfa] Tuesday 22/01, Arkady Leiderman

[kubis at math.cas.cz]

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 Tuesday 22nd January, 10:00am 
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 Speaker:Arkady Leiderman, Ben Gurion University of the Negev, Beer Sheva, Israel
 Title: Embedding of the free abelian topological group A(X \oplus X) into A(X)

 Abstract  

 Let $X\oplus X$ denote the free sum of two copies of a topological space $X$.
 
We consider the following question:
 
for which infinite metrizable (compact) spaces $X$ the free abelian topological group $A(X\oplus X)$
 
isomorphically embeds into $A(X)$.
 

 
While for many natural spaces $X$ such an embedding exists,
 
our main results show that in general this is not true.
 

 
(More details in the attached pdf file.)

 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .