S. Kaplan proved that the class of topological abelian groups for which the Pontr jagin
duality holds is actually larger than the one of locally compact abelian groups [1], ie he …

Following the tremendous reception of our first volume on topological groups called"
Topological Groups: Yesterday, Today, and Tomorrow", we now present our second volume …

We denote by R (T) a set R with topology T (in this note R may be an abstract set or an
abstract group or an abstract linear space). For two sets R1 and R2 (without topologies) we …

1. Introduction. The definition of groups in terms of generators and defining relations became
important when H. Poincaré discovered the fundamental (or first homotopy) group of an …

5 Elementary Geometric Topology Page 1 5 Elementary Geometric Topology The topics
discussed here will arise in the course of what follows. This chapter can be used for reference …

An example oî a topological group* UJ••*}"> Page 1 ROCZNIKÏ POLSKIEGO TOWARZYSTWA
MATEMATYCZNE GO Séria I: PEACE MATEMAT Y CZNE XV (1971) ANNALES SOCIETATIS …

In recent years, many students have been introduced to topology in high school
mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's …

In the previous section we have discussed the generation of groups by given operations,
and we have repeatedly come up against infinite groups thereby. In this chapter we shall …