Consider a transformation group G operating on a space X
and a G- invariant function f defined on a G- invariant subset of
X. By imposing suitable conditions on X, G, f and A, the
author derives sufficient conditions for extending f invariantly to
the whole space, and thus generalizing...
An obstruction theory is developed for "simplicial
bundles" which are generalized fiber bundles (over a
simplicial complex). Cross sections of one of the examples
of a simplicial bundle given (the Lefschetz bundle) are
essentially fixed point free maps of the base space.
In this dissertation we construct a homology spectral sequence
attached to a submersion whose E² term takes values in a certain
homology with local coefficients. The motivation for this work is
that the spectral sequence provides an effective tool for the conjecture
and proof of theorems regarding the global structure...
In this dissertation we construct a homology theory on the category of submersions which generalizes the homology of the base space with coefficients in the homology of the fiber as given by the E²-terms of the Serre spectral sequence of a fiber bundle. The main motivation for this new homology...
A geometric condition on differentiable maps is given which is
equivalent to the set of critical values being nowhere dense. In particular,
the geometric condition is satisfied for radially ductile maps.
On the other hand it is proved that the induced map on the de Rham
complex will be a...
This study develops an improved method for understanding
economic production relationships in small scale
fisheries. This method postulates that gross revenue is a
function of physical input quantities, and is based upon
the transcendental logarithmic function to derive factor
share equations for each of the five inputs in the model....
