compact space

(redirected from Compact spaces)

compact space

[¦käm‚pakt ′spās]
(mathematics)
A topological space which is a compact set.
References in periodicals archive ?
He showed that several known characterizations of compact spaces, nearly compact spaces and if-closed spaces are unified by generalizing the notion of compactness with the help of a certain operation of topology [tau] into power set of [U.
After a review of real numbers, sequences, and continuity for real-valued functions of one variable, the book covers continuity in metric and topological spaces, subspaces and product spaces, and the Hausdorff condition, as well as connected and compact spaces, sequential compactness, quotient spaces and surfaces, uniform convergence, and complete metric spaces.
To eliminate the need for special "octopus" cables and simplify cable connections in compact spaces, this line of EDT interface panels consists of 1U and 2U solutions that can service up to two PCI cards.
But these compartments were faithfully restored to their original configurations, which means compact spaces that threaten to take your breath away at first encounter.
The front plate and bulkhead have also been redesigned in order to facilitate installation in more compact spaces.
Compact Discs are stored in compact spaces with a new carousel storage system by SpaceSolutions.
Augmentix A+ rugged servers include a patent-pending Augmentix Intelligent Management System and innovative board and packaging designs to create environmentally robust, high availability servers that fit in the most compact spaces and withstand extreme temperatures, contaminants, moisture, shock, vibrations and more.
The product of two [locally] (i, j) semi compact spaces is [locally] (i, j) semi compact.
Kupka [7] inspired by a number of characterizations of UC spaces (also called Atsuji spaces) [11] to characterize compact spaces.
City Councilman Jeff Vander Borght, who suggested the city eliminate the requirement for compact spaces on newly built lots in 1999, will put the same suggestion before the council today.
Buses, trains and other transit vehicles are unique environments for surveillance because they are compact spaces that are constantly in motion," said Fredrik Nilsson, general manager of Axis Communications.
And it would cut the percentage of compact spaces in a lot from 40 percent to 25 percent.