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 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.
A property of the Sorgenfrey line
A pseudocompact space with Kelley's property has a strictly positive measure
A pseudo-interior of
A Pullback theorem for cofibrations.
A Pullback Theorem for Locally-Equiconnected Spaces.