99 Citations
Selections and approaching points in products
- Mathematics
- 2016
The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by Garcia-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of…
Metrizability of hereditarily normal compact like groups 1
- Mathematics
- 2014
Inspired by the fact that a compact topological group is hereditarily normal if and only if it is metrizable, we prove that various levels of compactness-like properties imposed on a topological…
Stationary Sets in Topological and Paratopological Groups
- Mathematics
- 2012
We show that if a topological or paratopological group $G$ contains a stationary subset of some regular uncountable cardinal, then $G$ contains a subspace which is not collectionwise normal. This…
Locally compact perfectly normal spaces may all be paracompact
- Mathematics
- 2010
We work towards establishing that if it is consistent that there is a supercompact cardinal then it is consistent that every locally compact perfectly normal space is paracompact. At a crucial step…
Normality-Type Properties and Covariant Functors
- Mathematics
- 2005
AbstractTopological properties similar to normality are considered in subspaces of products and powers of topological spaces, of spaces of closed subsets, and of spaces having the form …
Connected economically metrizable spaces
- Mathematics
- 2009
A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image…
Pairwise monotonically normal spaces
- Mathematics
- 1991
We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize…
M-factorizability of products and τ-fine topological groups
- MathematicsTopology and its Applications
- 2021
Geometrical properties of the space of idempotent probability measures
- MathematicsApplied General Topology
- 2021
Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics…