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In mathematics, a Listing number of a topological space is one of several topological invariants introduced by the 19th-century mathematician Johann Benedict Listing and later given this name by Charles Sanders Peirce. Unlike the later invariants given by Bernhard Riemann, the Listing numbers do not form a complete set of invariants: two different two-dimensional manifolds may have the same Listing numbers as each other.

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  • عدد ليستينغ (ar)
  • Listing number (en)
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  • في الرياضيات يعتبر عدد ليستينغ الخاص بـالفضاء الطوبولجي كمية ثابتة طوبولوجية معينة قدمها يوهان بنيديكت ليستينغ. حيث يوجد أربعة أرقام ليستنغية ترتبط بالفضاء. فأصغر الأرقام الليستينغية يحصي عدد المكونات المتصلة بالفضاء، وهذا يعتبر مساويًا للقيمة الصفرية لـأعداد بيتي. (ar)
  • In mathematics, a Listing number of a topological space is one of several topological invariants introduced by the 19th-century mathematician Johann Benedict Listing and later given this name by Charles Sanders Peirce. Unlike the later invariants given by Bernhard Riemann, the Listing numbers do not form a complete set of invariants: two different two-dimensional manifolds may have the same Listing numbers as each other. (en)
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  • في الرياضيات يعتبر عدد ليستينغ الخاص بـالفضاء الطوبولجي كمية ثابتة طوبولوجية معينة قدمها يوهان بنيديكت ليستينغ. حيث يوجد أربعة أرقام ليستنغية ترتبط بالفضاء. فأصغر الأرقام الليستينغية يحصي عدد المكونات المتصلة بالفضاء، وهذا يعتبر مساويًا للقيمة الصفرية لـأعداد بيتي. (ar)
  • In mathematics, a Listing number of a topological space is one of several topological invariants introduced by the 19th-century mathematician Johann Benedict Listing and later given this name by Charles Sanders Peirce. Unlike the later invariants given by Bernhard Riemann, the Listing numbers do not form a complete set of invariants: two different two-dimensional manifolds may have the same Listing numbers as each other. There are four Listing numbers associated with a space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number. (en)
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