@article {
author = {Talabeigi, A.},
title = {On Tychonoff's type theorem via grills},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {1},
pages = {37-41},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $\{X_{\alpha}:\alpha\in\Lambda\}$ be a collection of topological spaces, and $\mathcal {G}_{\alpha}$ be a grill on $X_{\alpha}$ for each $\alpha\in\Lambda$. We consider Tychonoff\rq{}s type Theorem for $X=\prod_{\alpha\in\Lambda}X_{\alpha}$ via the above grills and a natural grill on $X$ related to these grills, and present a simple proof to this theorem. This immediately yields the classical theorem of Tychonoff. We shall also observe> that the above result is also equivalent to the Axiom of Choice.},
keywords = {Tychonoff's theorem,grills,Axiom of Choice},
url = {http://bims.iranjournals.ir/article_738.html},
eprint = {http://bims.iranjournals.ir/article_738_3e4f14cd54c0259750fb23e3c2edef57.pdf}
}