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2012•Honam Mathematical JournalOpen access

ON SPACES WHICH HAVE COUNTABLE TIGHTNESS AND RELATED SPACES

Woo-Chorl Hong

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Abstract

In this paper, we study some properties of spaces having countable tightness and spaces having weakly countable tightness. We obtain some necessary and sufficient conditions for a space to have countable tightness. And we introduce a new concept of weakly countable tightness which is a generalization of countable tightness and show some properties of spaces having weakly countable tightness.

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In this paper, we study some properties of spaces having countable tightness and spaces having weakly countable tightness. We obtain some necessary and sufficient conditions for a space to have countable tightness. And we introduce a new concept of weakly countable tightness which is a generalization of countable tightness and show some properties of spaces having weakly countable tightness.

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Available abstract

In this paper, we study some properties of spaces having countable tightness and spaces having weakly countable tightness. We obtain some necessary and sufficient conditions for a space to have countable tightness. And we introduce a new concept of weakly countable tightness which is a generalization of countable tightness and show some properties of spaces having weakly countable tightness.

Key concepts: Countable set, Mathematics, Generalization, Cosmic space, Pure mathematics, Space (punctuation), Second-countable space, Discrete mathematics

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