Categories of inverse systems of compacta with upper semi-continuous bonding functions
نویسندگان
چکیده
منابع مشابه
Inverse Limits of Upper Semi-continuous Set Valued Functions
In this article we define the inverse limit of an inverse sequence (X1, f1), (X2, f2), (X3, f3), . . . where each Xi is a compact Hausdorff space and each fi is an upper semi-continuous function from Xi+1 into 2i . Conditions are given under which the inverse limit is a Hausdorff continuum and examples are given to illustrate the nature of these inverse limits.
متن کاملTopology Proceedings 36 (2010) pp. 353-373: Inverse Limits with Upper Semi-Continuous Bonding Functions: Problems and Some Partial Solutions
By means of numerous examples we call attention to several problems in the theory of inverse limits with upper semi-continuous bonding functions. Along with the problems we present a few partial solutions. Most of the problems we discuss arise from the failure of certain theorems from the theory of inverse limits with mappings to carry over to the setting of inverse limits with set-valued funct...
متن کاملComputability on Continuou, Lower Semi-continuous and Upper Semi-continuous Real Functions
In this paper we investigate continuous and upper and lower semi-continuous real functions in the framework of TTE, Type-2 Theory of EEectivity. First some basic facts about TTE are summarized. For each of the function spaces, we introduce several natural representations based on diierent intiuitive concepts of \eeectivity" and prove their equivalence. Computability of several operations on the...
متن کاملTopology Proceedings 40 (2012) pp. 203-214: Concerning Nonconnected Inverse Limits with Upper Semi-Continuous Set-Valued Functions
In this paper we present a sequence f2, f3, f4, . . . of upper semi-continuous set-valued functions with the property that the graph of fn n is not connected but the graph of fk n is connected for 1 ≤ k < n. Thus, for each positive integer n, lim ←−n is not connected but the difficulty of detecting this fact increases with n.
متن کاملAutomorphisms in Spaces of Continuous Functions on Valdivia Compacta
We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c0(Γ). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c0(Γ), all isomorphism between subspaces of C(K) of size less than אω extend to automorphisms of C(K).
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.02.007