The thesis is divided into two distinct parts. In the first part we raise some questions about pseudoradial and related spaces in the setting of the compactifications of N. In the second part we investigate the class of the remainders of H (the half-open interval (0, 1)), we show that some spaces can always be remainders of H and some others (including all the continua of weight $\le\omega\sb1$) are continuous images of any non-degenerate subcontinuum of $H\sp*.$

### On compactifications of the set of natural numbers and the half line

#### Abstract

The thesis is divided into two distinct parts. In the first part we raise some questions about pseudoradial and related spaces in the setting of the compactifications of N. In the second part we investigate the class of the remainders of H (the half-open interval (0, 1)), we show that some spaces can always be remainders of H and some others (including all the continua of weight $\le\omega\sb1$) are continuous images of any non-degenerate subcontinuum of $H\sp*.$
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0599077468
9780599077461
Compactification; natural numbers; half line; Pseudoradial spaces; remainder
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2787926
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