What question did this study set out to answer?

The aim is to characterize topological spaces with open countable tightness and explore related implications in various contexts.

May 24, 2026European Journal of MathematicsOpen Access

Spaces with open countable tightness

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Authors

SGSaak GabriyelyanBen-Gurion University of the Negev

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Implication

Demonstrates characterizations of topological spaces with open countable tightness, showing implications for topological groups and metrizable spaces.

Key Points

The aim is to characterize topological spaces with open countable tightness and explore related implications in various contexts.
Provided two characterizations of open countable tightness in topological spaces.
Analyzed the behavior of completions and quotients of topological groups with open countable tightness.
Established conditions for the properties of specific function spaces like C_p(X,Y) and C_k(X,Y).
Proved that if a topological group G has open countable tightness, so do its completion and any quotient.
Demonstrated that the direct locally convex sum of an uncountable family of locally convex spaces lacks open countable tightness.
Showed that C_p(X,Y) has open countable tightness for every non-trivial metrizable abelian group Y.

Cite This Study

Saak Gabriyelyan (2026) studied this question.

synapsesocial.com/papers/6a12968148a0ea166567351c https://doi.org/10.1007/s40879-026-00900-w

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Implication

Demonstrates characterizations of topological spaces with open countable tightness, showing implications for topological groups and metrizable spaces.

Spaces with open countable tightness

Discussion

Member takes

Implication

Key Points

Cite This Study

Spaces with open countable tightness

Discussion

Member takes

Implication

Key Points

Cite This Study

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