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Finite products of limits of direct systems induced by maps (CROSBI ID 217242)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ivanšić, Ivan ; Rubin, Leonaard R. Finite products of limits of direct systems induced by maps // Applied general topology, 16 (2015), 2; 209-215. doi: 10.4995/agt.2015.3449

Podaci o odgovornosti

Ivanšić, Ivan ; Rubin, Leonaard R.

engleski

Finite products of limits of direct systems induced by maps

Let Z, H be spaces. In previous work, we introduced the direct (inclusion) system induced by the set of maps between the spaces Z and H. Its direct limit is a subset of the product of Z and H, but its topology is different from the relative topology. We found that many of the spaces constructed from this method are pseudo-compact and Tychonoff. We are going to show herein that these spaces are typically not sequentially compact and we will explore conditions under which a finite product of them will be pseudo-compact.

complete regularity; the convergent sequence; direct limit; direct system; inclusion direct system; normality; perfect space; pseudo-compact; regularity; sequential convergence; sequential extensor

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Podaci o izdanju

16 (2)

2015.

209-215

objavljeno

1576-9402

1989-4147

10.4995/agt.2015.3449

Povezanost rada

Matematika

Poveznice
Indeksiranost