POWER-OBJECTS IN MONOTOPOLOGICAL CATEGORIES
作者:
I. Alderton,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1988)
卷期:
Volume 12,
issue 1
页码: 25-50
ISSN:1607-3606
年代: 1988
DOI:10.1080/16073606.1988.9632163
出版商: Taylor & Francis Group
关键词: Primary 18D15;Secondary 54A40
数据来源: Taylor
摘要:
An investigation is made of Cartesian closedness of monotopological categories A which are not necessarily c-categories. Results include: a description of the underlying sets of the power-objects in terms of the horn-sets of a certain monotopological subcategory of A; the fact that if A is Cartesian closed then it is subconcretely so; and the fact that if A is not topological and contains an initial source which is not a mono-source then A cannot be Cartesian closed. Various criteria concerning the existence of splitting objects in A are given, as well as the proofs of the exponential, distributive and other laws when A is Cartesian closed.
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