We study a class of two-generator two-relator groups, denoted J[subscript n](m, k), that arise in the study of relative asphericity as groups satisfying a transitional curvature condition. Particular instances of these groups occur in the literature as finite groups of intriguing orders. Here we find infinite families of non-elementary virtually...
For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the
Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
By using continued fractions the set of positive
irrationals can be put in one to one correspondence
with the set of sequences of positive integers. The
entries of an arbitrary sequence of integers can be any
subset of Z and each integer appearing can occur once,
infinitly often, or anything...
This thesis brings together under one cover a survey of the
history of the real number pi along with a study of the present state
of its theory, application, and calculation.
This thesis brings together under one cover a survey
of the history of the real number e along with a study
of the present state of its theory and calculation.