discrete space
topological space whose every subset is both open and closed
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discrete space
Summary
discrete space ranks in the top 2% of general entities by monthly Wikipedia readership (99 views/month).[1]
Key Facts
- discrete space's subclass of is recorded as zero-dimensional space[2].
- discrete space's subclass of is recorded as totally disconnected space[3].
- discrete space's subclass of is recorded as metrizable space[4].
- discrete space's subclass of is recorded as manifold[5].
- discrete space's subclass of is recorded as extremally disconnected space[6].
- discrete space's subclass of is recorded as door space[7].
- discrete space's part of is recorded as category of topological spaces[8].
- discrete space's opposite of is recorded as codiscrete space[9].
- discrete space's has part is recorded as isolated point[10].
- discrete space's Freebase ID is recorded as /m/0fjpm[11].
- discrete space's has characteristic is recorded as discrete topology[12].
- discrete space's has characteristic is recorded as Lebesgue covering dimension[13].
- discrete space's different from is recorded as discrete topology[14].
- discrete space's different from is recorded as discrete set[15].
- discrete space's different from is recorded as codiscrete space[16].
- discrete space's defining formula is recorded as \operatorname{Open}(X) = {U\colon U\subseteq X}[17].
- discrete space's studied by is recorded as general topology[18].
- discrete space's MathWorld ID is recorded as DiscreteSpace[19].
- discrete space's JSTOR topic ID is recorded as discrete-spaces[20].
- discrete space's nLab ID is recorded as discrete object[21].
- discrete space's maintained by WikiProject is recorded as WikiProject Mathematics[22].
- discrete space's Microsoft Academic ID is recorded as 153782549[23].
- discrete space's in defining formula is recorded as X[24].
- discrete space's in defining formula is recorded as \operatorname{Open}(X)[25].
- discrete space's in defining formula is recorded as {U\colon U\subseteq X}[26].
Why It Matters
discrete space ranks in the top 2% of general entities by monthly Wikipedia readership (99 views/month).[1] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[27] It is known by 3 alternative names across languages and contexts.[28]