Upper and Lower Sequence of a Cage
نویسنده
چکیده
In this paper n is a natural number. One can prove the following propositions: (1) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds N-boundX ¬ N-boundY. (2) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds E-boundX ¬ E-boundY. (3) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds S-boundX S-boundY. (4) For every non empty subset X of E2 T and for every compact subset Y of E2 T such that X ⊆ Y holds W-boundX W-boundY. (5) Let f , g be finite sequences of elements of E2 T. Suppose f is in the area of g. Let p be an element of the carrier of E2 T. If p ∈ rng f, then f −: p is in the area of g. (6) Let f , g be finite sequences of elements of E2 T. Suppose f is in the area of g. Let p be an element of the carrier of E2 T. If p ∈ rng f, then f :− p is in the area of g.
منابع مشابه
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The articles [25], [30], [2], [4], [3], [29], [5], [14], [27], [20], [24], [13], [1], [23], [10], [11], [8], [28], [16], [12], [21], [26], [7], [18], [19], [6], [22], [9], [15], and [17] provide the notation and terminology for this paper. In this paper n is a natural number. The following propositions are true: (1) Let G be a Go-board and i1, i2, j1, j2 be natural numbers. Suppose 1 ¬ j1 and j...
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