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Counting paths between points on a circle

Ivaylo Kortezov — 2023

Commentationes Mathematicae Universitatis Carolinae

The paper deals with counting sets of given magnitude whose elements are self-avoiding paths with nodes from a fixed set of points on a circle. Some of the obtained formulae provide new properties of entries in ``The On-line Encyclopaedia of Integer Sequences", while others generate new entries therein.

Function spaces in the Stegall class

Ivaylo S. Kortezov — 1999

Commentationes Mathematicae Universitatis Carolinae

We prove several stability properties for the class of compact Hausdorff spaces T such that C ( T ) with the weak or the pointwise topology is in the class of Stegall. In particular, this class is closed under arbitrary products.

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