Samuel M. Corson

activity

20152026

ℵ_{1}

-free groups

4 citations · 17 across the 24 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.GR2018★ 4 cited

Automatic continuity of $ℵ_{1}$ -free groups

Samuel M. Corson

We prove that groups for which every countable subgroup is free ( $ℵ_{1}$ -free groups) are n-slender, cm-slender, and lcH-slender. In particular every homomorphism from a complet…

math.GR2018

Deeply concatenable subgroups might never be free

Samuel M. Corson, Saharon Shelah

We show that certain algebraic structures lack freeness in the absence of the axiom of choice. These include some subgroups of the Baer-Specker group $Z^{ω}$ and the Hawaiia…

math.GR2018

The number of homomorphisms from the Hawaiian earring group

Samuel M. Corson

We show a dichotomy for groups of cardinality less than continuum. The number of homomorphisms from the Hawaiian earring group to such a group $G$ is either the cardinality of $G$ …

Automatic continuity of ℵ1​-free groups

Deeply concatenable subgroups might never be free

The number of homomorphisms from the Hawaiian earring group

Automatic continuity of $ℵ_{1}$ -free groups