On Removing One Point from a Compact Space

• Autores: Gady Kozma
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 4, 2004, págs. 1115-1126
• Idioma: inglés
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• Resumen

  • If B is a compact space such that after removing one point x it is still Lindelof, then any power of B satisfies that after removing one point (namely the point all whose coordinates are x) it is still star-Lindelof. If after removing one point B is still compact, then any power of B, after removing one point is still discretely star-Linedlof. In particular, this gives new examples of Tychonoff, discretely star-Lindelof spaces with unlimited extent.