By Halas L., Hort D.
We symbolize completely ordered units in the classification of all ordered units containing at the very least four-element chains. We use an easy dating among their isotone adjustments and the so referred to as 1-endomorphism that's brought within the paper. Later we describe 1-, 2-, 3-, 4-homomorphisms of ordered units within the language of tremendous robust mappings.
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Extra info for A Characterization of 1-, 2-, 3-, 4-Homomorphisms of Ordered Sets
Whenever I teach my students about the frequency-based play I advocate in this book, one of the first reactions is, “I can’t play that way. ” 38 POKER’S 1% Yes and no. Yes, if you play against opponents who also understand these rules, the variance is indeed huge. If all players are constantly betting and calling, then you’re playing a ton of big pots with small edges. That spells huge variance. You can’t expect to play $5-$10 no-limit on the Internet or higher without a very, very healthy bankroll.
The same logic also applies on previous streets. When your opponent bets, there is a threshold beyond which he can bet any two cards profitably. When your opponent bets, he’s giving you odds to call, and he’s giving himself odds to bet any two cards. If you expect to not get trampled, you have to call frequently enough to deny a profitable bet for any two cards. Therefore, when your opponent is betting less than the pot, you should usually call. Now let’s look at the second rule—it is similar.
Fundamentally, you have too much junk in your pyramid. The junk has to go somewhere, and wherever you put it, it hurts you. People try to dispose of the junk in different ways. The above pyramid illustrates a classic fit or fold player. All the junk goes on the flop. This is the guy that says, “I don’t mind playing a hand like 96 suited preflop. ” Sorry, man. That’s not good enough. The pyramid has a huge hitch between the preflop and flop levels. This guy couldn’t be easier to beat. I can just bet 100 percent of flops for half-pot and crush him.
A Characterization of 1-, 2-, 3-, 4-Homomorphisms of Ordered Sets by Halas L., Hort D.