Subspaces of pseudoradial spaces

Compact Spaces and the Pseudoradial Property, Ii

There is a model of set theory in which all compact spaces of weight at most ω2 are pseudoradial.

Compact Spaces and the Pseudoradial Property, I

We investigate two properties and their connection to the property of pseudoradiality in the context of compact spaces. The first is the WAP property introduced by P. Simon and the second is the א0-pseudoradial property introduced by B. Šapirovskii. We show that ♦ implies there is a compact space which is pseudoradial but not WAP. We show that there is a model in which CH fails and in which all...

ε-weakly Chebyshev subspaces and quotient spaces

UNIVERZITA KOMENSKÉHO V BRATISLAVE FAKULTA MATEMATIKY, FYZIKY A INFORMATIKY Katedra algebry, geometrie a didaktiky matematiky HEREDITY, HEREDITARY COREFLECTIVE HULLS AND OTHER PROPERTIES OF COREFLECTIVE SUBCATEGORIES OF CATEGORIES OF TOPOLOGICAL SPACES

This thesis deals mainly with hereditary coreflective subcategories of the category Top of topological spaces. After preparing the basic tools used in the rest of thesis we start by a question which coreflective subcategories of Top have the property SA = Top (i.e., every topological space can be embedded in a space from A). We characterize such classes by finding generators of the smallest cor...

M-FUZZIFYING INTERVAL SPACES

In this paper,  we introduce  the notion of $M$-fuzzifying interval spaces, and discuss the relationship between $M$-fuzzifying interval spaces and $M$-fuzzifying convex structures.It is proved that  the category  {bf MYCSA2}  can be embedded in  the category  {bf  MYIS}  as a reflective subcategory, where  {bf MYCSA2} and   {bf  MYIS} denote  the category of $M$-fuzzifying convex structures of...