By Beshimov R. B.
We research a few express houses of the functor Oβ of weakly additive functionalsacting within the class Tych of the Tychonoff areas and their non-stop mappings. We express that Oβ preserves the burden of infinite-dimensional Tychonoff areas, the singleton, and the empty set, and that Oβ is monomorphic and non-stop within the experience of T. Banakh, takes each excellent mapping to an epimorphism, and preserves intersections of functionally closed units in a Tychonoff area.
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Additional resources for A Categorical Property of the Stone - Cech Compactification
She could tell by the way his hand hesitated at each holy point that it was not, this time, a gesture of mere ritual. She was almost tempted to tell him about her dream. But no, it would just excite him all over again. The poor young man had surely had enough for one day. His jowls were quite pale. "I will take, um, more thought," he assured her, and scraped his chair back from the table. His bow to her, as he rose, was not that of conductor to charge, nor of courtier to patron. He gave her the deep obeisance of piety to a living saint.
Ista drew a few slightly rude, if not unamiable, calls from passing men in the street, which she didn't know how to handle and therefore ignored. The men trod off more rudely and less amiably Liss had exchanged such banter earlier, with easy cheer, and sent their drunken admirers on their way chuckling. This is not my world. Yet she had ruled it once, supposedly, from a clouded distance in Cardegoss. Ferda dy Gura emerged onto the neighboring balcony, found Ista by herself, glared a would-be serenader into slinking away, and chided her, albeit in the politest terms, for dispensing with her attendant.
It is, I grant, a trifle impious to use a pilgrimage so, and abuse the good guards the Daughter's Order lends me. Though I'm quite sure I'm not the first to make holiday at the gods' expense. " Dy Cabon waved away these pecuniary considerations. "Lady. I have read. I have talked to my superiors. I have taken thought. " He drew a breath. " His gaze upon her face was deeply searching. Found reason where? What garbled, secret tales had the man heard? Ista sat back; did not, quite, recoil. " "I believe you underestimate yourself.