A pair of non-self mappings in cone metric spaces
A partial generalization of a theorem of Hursch
A partically ordered space which is not a Priestely space.
A partition of R in two homogeneous and homeomorphic parts
A perfectly normal locally metrizable non-paracompact space
A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms.
A pointwise contraction criteria for the existence of fixed points.
A Polish AR-Space with no Nontrivial Isotopy
The Polish space Y constructed in [vM1] admits no nontrivial isotopy. Yet, there exists a Polish group that acts transitively on Y.
A poset of topologies on the set of real numbers
On the set of real numbers we consider a poset (by inclusion) of topologies , where , such that iff . The poset has the minimal element , the Euclidean topology, and the maximal element , the Sorgenfrey topology. We are interested when two topologies and (especially, for ) from the poset define homeomorphic spaces and . In particular, we prove that for a closed subset of the space is homeomorphic to the Sorgenfrey line iff is countable. We study also common properties...
A positional characterization of the (n-1)-dimensional Sierpiński curve in (η ≠ 4)
A Priestley view of spatialization of frames
A principal topology obtained from uninorms
We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice...
A problem about set translations on the real line
A problem concerning locally- functions in a commutative Banach algebra
A Product Theorem in Dimension.
A proof for the Blair-Hager-Johnson theorem on absolute -embedding
In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space is -embedded in every larger Tychonoff space if and only if is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings.
A proof of the Moore metrization theorem
A proof of the Schauder-Tychonoff theorem.
A Property Between Compact and Strongly Countably Compact
A property of semigroups on metric spaces.