Biequivalences and topology in the alternative set theory
Bijections of scattered spaces onto compact Hausdorff
Bijections onto compact spaces
Characterizations of -Lindelöf spaces
A topological space is said to be -Lindelöf [1] if every cover of by cozero sets of admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of -Lindelöf spaces.
Characterizing polyhedrons and manifolds
In [5], W. Taylor shows that each particular compact polyhedron can be characterized in the class of all metrizable spaces containing an arc by means of first order properties of its clone of continuous operations. We will show that such a characterization is possible in the class of compact spaces and in the class of Hausdorff spaces containing an arc. Moreover, our characterization uses only the first order properties of the monoid of self-maps. Also, the possibility of characterizing the closed...
Classification of weak continuities and decomposition of continuity.
Clone properties of topological spaces
Clone properties are the properties expressible by the first order sentence of the clone language. The present paper is a contribution to the field of problems asking when distinct sentences of the language determine distinct topological properties. We fully clarify the relations among the rigidity, the fix-point property, the image-determining property and the coconnectedness.
Clones, coclones and coconnected spaces.
Clones in topology and algebra.
Closed, continuous images of complete metric spaces
Colorings of Periodic Homeomorphisms
We calculate the exact value of the color number of a periodic homeomorphism without fixed points on a finite connected graph.
Completely continuous functions in intuitionistic fuzzy topological spaces
In this paper, after giving the basic results related to the product of functions and the graph of functions in intuitionistic fuzzy topological spaces, we introduce and study the concept of fuzzy completely continuous functions between intuitionistic fuzzy topological spaces.
Completely -continuous multifunctions.
Complexity of the class of Peano functions
We evaluate the descriptive set theoretic complexity of the space of continuous surjections from to .
Connected CM-homomorphisms into
Connectedness in monotone spaces.
Continua with the periodic-recurrent property.
Continuity Based on Convergence and Lower Complete Distributive Lattices instead of Directed Sets
Continuity of Nemyckij's operator in Hölder spaces
Continuity points in