28 Dε={z∊C;|z|<ε∊R} However, R represents the entirety of real numbers, or the real number line. Dε is the subset of the complex plane C, and the union ∪Dε which includes the infinite potency of Dε is also again a subset of C, and at the same time the intersection Dε∩Dδ of the finite element of Dε is also a subset of C, so the complex plane C is topological space, and its subset Dε is open. We shall call this subset Dε of C the “open disc.” The complex plane C matches the union ∪Dε of all open sets Dε that are included in itself, or in other words, it matches the greatest open set D∞ included in itself. C=∪Dε=D∞ Therefore the complex plane C is open. The greatest open set D∞ included in C is when the limit of the diameter ε of the open disc Dε is infinite, or in other words, when limε=∞ is an open disc of infinite circumference, so C cannot have any bounds or boundaries with the outside. The complex plane C is open and at the same time it has no boundaries. We can consider the complex plane C as a specific example of the open set as the image of the open God. This will allow us to make the open God and his incarnation and resurrection logically consistent, as shown below. The Incarnation of God: the Compact Manifold Whoever does not love does not know God, because God is love. (1 John 4:8) God is love. This is probably the most basic gospel of Christianity. Love is to feel joy with others, and at the same time, to suffer with others. Love is the enjoyment, just as it is also suffering. Surely he took up our pain and bore our suffering (Isaiah 53:4)
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