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Attila Joó, Base partition for finitary-cofinitary matroid families

December 19 Thursday @ 4:30 PM - 5:30 PM

Room B232, IBS (기초과학연구원)

Speaker

Let ${\mathcal{M} = (M_i \colon i\in K)}$ be a finite or infinite family consisting of finitary and cofinitary matroids on a common ground set $E$.

We prove the following Cantor-Bernstein-type result: if $E$ can be covered by sets ${(B_i \colon i\in K)}$ which are bases in the corresponding matroids and there are also pairwise disjoint bases of the matroids $M_i$ then $E$ can be partitioned into bases with respect to $\mathcal{M}$.

Details

Date:
December 19 Thursday
Time:
4:30 PM - 5:30 PM
Event Category:
Event Tags:

Venue

Room B232
IBS (기초과학연구원)

Organizer

Sang-il Oum (엄상일)
Website:
https://dimag.ibs.re.kr/home/sangil/