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Shape theory is a branch of topology that provides a more global view of the topological spaces than homotopy theory. The two coincide on compacta dominated homotopically by finite polyhedra. Shape theory associates with the Čech homology theory while homotopy theory associates with the singular homology theory.

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  • In der Mathematik ist der Warschauer Kreis (benannt nach der Wirkungsstätte seines Entdeckers Karol Borsuk) ein topologischer Raum, der unter anderem als Gegenbeispiel für Verallgemeinerungen verschiedener topologischer Lehrsätze von CW-Komplexen auf beliebige topologische Räume dient. (de)
  • Shape theory is a branch of topology that provides a more global view of the topological spaces than homotopy theory. The two coincide on compacta dominated homotopically by finite polyhedra. Shape theory associates with the Čech homology theory while homotopy theory associates with the singular homology theory. (en)
  • 形状理论是拓扑学的一个分支,它是同伦理论的扩展,考虑了特殊局部属性的情形。形状理论将同伦理论扩展至更一般的空间上,比如紧致度量空间,或紧致豪斯多夫空间。 (zh)
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  • shape theory (en)
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  • In der Mathematik ist der Warschauer Kreis (benannt nach der Wirkungsstätte seines Entdeckers Karol Borsuk) ein topologischer Raum, der unter anderem als Gegenbeispiel für Verallgemeinerungen verschiedener topologischer Lehrsätze von CW-Komplexen auf beliebige topologische Räume dient. (de)
  • Shape theory is a branch of topology that provides a more global view of the topological spaces than homotopy theory. The two coincide on compacta dominated homotopically by finite polyhedra. Shape theory associates with the Čech homology theory while homotopy theory associates with the singular homology theory. (en)
  • 形状理论是拓扑学的一个分支,它是同伦理论的扩展,考虑了特殊局部属性的情形。形状理论将同伦理论扩展至更一般的空间上,比如紧致度量空间,或紧致豪斯多夫空间。 (zh)
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  • Warschauer Kreis (de)
  • Shape theory (mathematics) (en)
  • 形状理论 (zh)
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