21 citations · 101 across the 38 of their papers we have counts for
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Homeomorphism between close relatives of Hilbertian balls
Antonio Avilés
We present a solution to some problems posed by the author and Kalenda. We show that the closed ball of nonseparable Hilbert space in its weak topology is homeomorphic to its posit…
Lexicographic products as compact spaces of the first Baire clas
Antonio Avilés, Stevo Todorcevic
We use lexicographic products to give examples of compact spaces of first Baire class functions on a compact metric space that cannot be represented as spaces of functions with cou…
On disconnected images of connected spaces
Antonio Avilés, Grzegorz Plebanek
We introduce the notion that a zero-dimensional compact space is a \emph{Boolean image} of an arbitrary compact space . When is also zero-dimensional, this just means th…
Rosenthal compacta that are premetric of finite degree
Antonio Avilés, Alejandro Poveda, Stevo Todorcevic
We show that if a separable Rosenthal compactum is an -to-one preimage of a metric compactum, but it is not an -to-one preimage, then contains a closed subset homeo…
Compact spaces that do not map onto finite products
Antonio Avilés
We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number o…
Fiber orders and compact spaces of uncountable weight
Antonio Avilés, Ondrej F. K. Kalenda
We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.