compactness in angels/devil problem
The literature on the angels-and-devil problem often refers to a
"compactness argument" for passing from conclusions about finite
boards to conclusions about the infinite case. What is this
"compactness argument" and which topology is the compactness concept
being applied to?
Thank you,
Paul Epstein
.
Relevant Pages
- Re: compactness in angels/devil problem
... boards to conclusions about the infinite case. ... "compactness argument" and which topology is the compactness concept ... Thedeviland the angel take alternate moves. ... by eating one non-occupied square and therefore preventing the angel ...
(sci.math) - Re: compactness in angels/devil problem
... boards to conclusions about the infinite case. ... "compactness argument" and which topology is the compactness concept ... queen together with the set of squares that the devil has eaten ... Now M is a finite set; give M the discrete topology, ...
(sci.math) - Re: compactness in angels/devil problem
... boards to conclusions about the infinite case. ... "compactness argument" and which topology is the compactness concept ... Now M is a finite set; give M the discrete topology, ... suppose that a given angel moves like a chess king. ...
(sci.math) - Re: compactness in angels/devil problem
... boards to conclusions about the infinite case. ... "compactness argument" and which topology is the compactness concept ... The angel is on a square ... The devil and the angel take alternate moves. ...
(sci.math) - Re: compactness in angels/devil problem
... "compactness argument" and which topology is the compactness concept ... Therefore an infinite board is always assumed to make the ... Now M is a finite set; give M the discrete topology, ... Since S is a closed subset of X, ...
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