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This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric topology. All spaces in this glossary are assumed to be topological spaces unless stated otherwise.

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  • Glossary of topology (en)
  • Insieme localmente chiuso (it)
  • Glossaire de topologie (fr)
  • Глоссарий общей топологии (ru)
  • 拓撲學術語 (zh)
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  • This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric topology. All spaces in this glossary are assumed to be topological spaces unless stated otherwise. (en)
  • Ceci est un glossaire de quelques termes utilisés en topologie. Ce glossaire est divisé en deux parties. La première traite des concepts généraux, et la seconde liste différents types d'espaces topologiques. Dans ce glossaire, tous les espaces sont supposés topologiques. (fr)
  • In matematica, un sottoinsieme di uno spazio topologico si dice localmente chiuso se soddisfa le seguenti condizioni equivalenti: * è aperto nella sua chiusura; * è aperto in un chiuso di ; * è chiuso in un aperto di ; * per ogni punto di esiste un intorno aperto di x tale che è chiuso in ; * è intersezione di un aperto e un chiuso di . (it)
  • 這裡列出的是在數學領域中的一分支拓撲學所常使用的一些術語。在拓撲學的許多子類中,術語上的使用差異並不是很大,這裡主要針對一般拓撲學(或稱點集拓撲)來編寫。這些術語也是其它學門如代數拓扑、微分拓扑和幾何拓扑中的基本術語。 關於一些基本的定義,請參閱拓扑空間的條目,關於拓撲學的簡史,請參閱拓撲學。關於集合以及函數的基本定義,請參閱樸素集合論、公理集合論,和函數。下面所列出的條目對拓撲學的瞭解也有幫助,這些文章中包含了某些一般拓撲學中的特別字彙,我們所列出的有些術語將在以下做更詳盡的解釋。一般拓撲學專題列表和一般拓撲學的例子列表也非常有用。 * 緊緻空間 * 連通空間 * 連續性 * 度量空間(距離空间) * 分离集合 * 分離公理 * 拓扑空間 * 一致空间 在這個術語表中所提到的「空間」,除非另有說明,說的都是拓扑空間。 (zh)
  • В этом глоссарии приведены определения основных терминов, используемых в общей топологии. Курсивом выделены ссылки внутри глоссария. (ru)
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