We charachterize the closed subsets T of a Tychonoff F-space such that the space we obtain from X collapsing T to one point is also an F-space. We deduce a charchterization of the quotient spaces of a Parovicenko space which are Parovicenko spaces, in case the quotient map has finitely many nontrivial fibers

Continuous images of N* which are homeomorphic to N*

VIPERA, Maria Cristina
2005

Abstract

We charachterize the closed subsets T of a Tychonoff F-space such that the space we obtain from X collapsing T to one point is also an F-space. We deduce a charchterization of the quotient spaces of a Parovicenko space which are Parovicenko spaces, in case the quotient map has finitely many nontrivial fibers
2005
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/128448
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