An extension of the Stone representation for orthomodular lattices
An extension theorem for continuous functions
An extension theorem for multifunctions and a characterization of complete metric spaces
An extension theorem for separately continuous functions and its application to functional analysis
An extension theorem for sober spaces and the Goldman topology.
An extension to the non-metric case of a theorem of Glasner.
An iff fixed point criterion for continuous self-mappings on a complete metric space. (Summary).
An iff fixed point criterion for continuous self-mappings on a complete metric space.
An implicit-function theorem for a class of monotone generalized equations
An independency result in connectification theory
A space is called connectifiable if it can be densely embedded in a connected Hausdorff space. Let be the following statement: “a perfect -space with no more than clopen subsets is connectifiable if and only if no proper nonempty clopen subset of is feebly compact". In this note we show that neither nor is provable in ZFC.
An index and a Nielsen number for n-valued multifunctions
An infinitary version of Sperner's Lemma
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
An infinite-dimensional subspace of consisting of functions with no finite one-sided derivatives.
An insertion theorem for real functions
An integral theorem and its applications to coincidence theorems
An interesting class of ideals in subalgebras of containing
In the present paper we give a duality between a special type of ideals of subalgebras of containing and -filters of by generalization of the notion -ideal of . We also use it to establish some intersecting properties of prime ideals lying between and . For instance we may mention that such an ideal becomes prime if and only if it contains a prime ideal. Another interesting one is that for such an ideal the residue class ring is totally ordered if and only if it is prime.
An interesting plane dendroid
An internal characterization of WI spaces
An intrinsic characterization of the shape of paracompacta by means of non-continuous single-valued maps.
An introduction to shape theory for the nonspecialist