Volume 25, Number 1, 1999
SOME PROPERTIES OF g- AND P-SPACES
1991 Mathematics Subject Classification: 54C35, 54A25. Key words: pointwise convergence, Cp(x), g-space, Frechet-Urysohn property, strictly positive measure, P-space.
ON A CONDITIONAL CAUCHY-TYPE FUNCTIONAL EQUATION INVOLVING POWERS
1991 Mathematics Subject Classification: 39B52. Key words: functional equation.
RELATIVE COMPACTNESS FOR HYPERSPACES
Francesca Sianesi email@example.com
1991 Mathematics Subject Classification: 54B20. Key words: hyperspaces topologies, relative compactness, sup measures, gap functional.
We investigate the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit and-miss topologies.
LIMIT THEOREMS FOR REGENERATIVE EXCURSION PROCESSES
Kosto V. Mitov firstname.lastname@example.org
1991 Mathematics Subject Classification: 60F05; 60K05; 60J80. Key words: Alternating renewal processes, regenerative processes, limit theorems, branching processes, state-dependent immigration.
For the embedded alternating renewal process, with interarrival times Xi - the time for the installation and Ti - the time for the work, are proved some limit theorems for the spent worktime and the residual worktime, when at least one of the means of Xi and Ti is infinite.
Limit theorems for the process Z(t) are proved, too.
Finally, some applications to the branching processes with state-dependent immigration are given.
ON THE SENSE PRESERVING MAPPINGS IN THE HELM TOPOLOGY IN THE PLANE
Pavel Pyrih email@example.com
1991 Mathematics Subject Classification: Primary 54A10; Secondary 26A34,31C40. Key words: fine topology, density topology.
ON THE HYPERBOLICITY DOMAIN OF THE POLINOMIAL
Vladimir Petrov Kostov firstname.lastname@example.org
1991 Mathematics Subject Classification: Primary: 14P10; secondary: 14B05. Key words: hyperbolicity domain, stratum, multiplicity vector.
1) how to find this k and which stratum is ``above'' just by looking at the multiplicity vectors of the strata;
2) how to obtain the relative position of a stratum of dimension l and of all strata of dimension l+1 and l+2 to which it is adjacent.
NONLINEAR WAVE EQUATION WITH VANISHING POTENTIAL
Sandra Lucente email@example.com
1991 Mathematics Subject Classification: 35L05, 35B65. Key words: nonlinear wave equation, large data.
SOME PARA-HERMITIAN RELATED COMPLEX STRUCTURES AND NON-EXISTENCE
OF SEMI-RIEMANNIAN METRIC ON SOME SPHERES
Sadettin Erdem firstname.lastname@example.org
1991 Mathematics Subject Classification: 53C15, 53C50, 53C55. Key words: Hermitian, para-Hermitian and indefinite metric.