Naslov
Finite products of limits of direct systems induced by maps

Autori
Ivanšić, Ivan ; Rubin, Leonaard R.

Izvornik
Applied general topology (1576-9402) 16 (2015), 2; 209-215

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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