Trivial topology
In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space. Such spaces are commonly called indiscrete, anti-discrete, or codiscrete. Intuitively, this has the consequence that all points of the space are "lumped together" and cannot be distinguished by topological means. Every indiscrete space is a pseudometric space in which the distance between any two points is zero.
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Trivial topology
In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space. Such spaces are commonly called indiscrete, anti-discrete, or codiscrete. Intuitively, this has the consequence that all points of the space are "lumped together" and cannot be distinguished by topological means. Every indiscrete space is a pseudometric space in which the distance between any two points is zero.
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Die triviale Topologie, indisk ...... inem topologischen Raum macht.
@de
Em topologia, um espaço topoló ...... , o que são funções contínuas.
@pt
En matemàtiques, s'anomena top ...... definir sobre qualsevol espai.
@ca
En mathématiques et plus préci ...... s du point de vue topologique.
@fr
En topología, la topología tri ...... par de puntos es siempre cero.
@es
In topology, a topological spa ...... etween any two points is zero.
@en
Przestrzeń antydyskretna – nie ...... mi dwoma punktami jest zerowa.
@pl
Uno spazio topologico X ha la ...... da una pseudometrica del tipo:
@it
Антидискретна топологія або тр ...... ір називається антидискретним.
@uk
Тривиа́льная тополо́гия в обще ...... щеязыковом смысле этого слова.
@ru
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Die triviale Topologie, indisk ...... inem topologischen Raum macht.
@de
Em topologia, um espaço topoló ...... , o que são funções contínuas.
@pt
En matemàtiques, s'anomena top ...... definir sobre qualsevol espai.
@ca
En mathématiques et plus préci ...... s du point de vue topologique.
@fr
En topología, la topología tri ...... e denomina espacio indiscreto.
@es
In topology, a topological spa ...... etween any two points is zero.
@en
Przestrzeń antydyskretna – nie ...... ej dowolny zbiór jest otwarty.
@pl
Uno spazio topologico X ha la ...... da una pseudometrica del tipo:
@it
Антидискретна топологія або тр ...... ір називається антидискретним.
@uk
Тривиа́льная тополо́гия в обще ...... щеязыковом смысле этого слова.
@ru
label
Maldiskreta spaco
@eo
Przestrzeń antydyskretna
@pl
Topologia banale
@it
Topologia grollera
@ca
Topologia grosseira
@pt
Topologie grossière
@fr
Topología trivial
@es
Trivial topology
@en
Triviale Topologie
@de
Антидискретна топологія
@uk