2014•Bulletin of the Australian Mathematical SocietyOpen access

A note on spaces with a rank 2-diagonal

Wei-Feng Xuan, Wei-Xue Shi

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Abstract

We prove that if a space \(X\) with a rank 2-diagonal either has the countable chain condition or is star countable then the cardinality of \(X\) is at most \(c\). DOI: 10.1017/S0004972713001184

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We prove that if a space \(X\) with a rank 2-diagonal either has the countable chain condition or is star countable then the cardinality of \(X\) is at most \(c\). DOI: 10.1017/S0004972713001184

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Available abstract

We prove that if a space \(X\) with a rank 2-diagonal either has the countable chain condition or is star countable then the cardinality of \(X\) is at most \(c\). DOI: 10.1017/S0004972713001184

Key concepts: Mathematics, Countable set, Diagonal, Cardinality (data modeling), Rank (graph theory), Combinatorics, Star (game theory), Space (punctuation)

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