An application of fixed-point theory to equilibrium analysis
An application of inaccessible alephs
An application of KKM-map principle.
An application of modular spaces to integral equations
An application of nonstandard analysis to category
An application of peripherality to compact semigroups.
An application of quaternionic analysis to the solution of time-independent Maxwell equations and of Stokes’ equation
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
An application of the theory of isosceles (ultrametric) spaces to the Trnková-Vinárek theorem
An approach to a dual of regular closure operators
An approach to covering dimensions
Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively.
An approach to fixed points in product spaces.
An approximation method for continuous pseudocontractive mappings.
An arcwise connected continuum without nonboundary proper arcwise connected subcontinua.
An Ascoli theorem for sequential spaces.
An atomic map onto an arbitrary metric continuum
An atriodic tree-like continuum with positive span
An atriodic tree-like continuum with positive span which admits a monotone mapping to a chainable continuum
An attraction result and an index theorem for continuous flows on
We study the behavior of a continuous flow near a boundary. We prove that if φ is a flow on for which is an invariant set and S ⊂ ∂E is an isolated invariant set, with non-zero homological Conley index, then there exists an x in EE such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on .
An Egoroff-type theorem for set-valued measurable functions.