Results 41 to 50 of about 82 (79)

Convenient Topology

open access: yes, 1997
. A new viewpoint of Topology, summarized under the name Convenient Topology, is considered in such a way that the structural deficiencies of topological and uniform spaces are remidied. This does not mean that these spaces are superfluous.
Gerhard Preuß
core  

Completion Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of filter spaces (including symmetric convergence spaces [and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many ...
Gerhard Preuß
core  

Precompactness And Compactness In The Natural Function Spaces Of The Category Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
core  

The Topological Universe Of Locally Precompact Semiuniform Convergence Spaces

open access: yes, 1996
. The importance of local precompactness has become apparent in theorems of the Ascoli type proved by Bentley and Herrlich [3] in the realm of filter spaces as well as by Wyler [14] in the realm of uniform limit spaces.
Gerhard Preuß
core  

相対可算パラコンパクト空間の特徴付け

open access: yes
We shall introduce the relatively countably n-paracompactness in a total space (n = 1,2,3) and discuss the relations among another relative properties, and also give their characterizations.
ヤスイ, ヨシカズ   +2 more
core   +1 more source

Compactness with respect to a convergence structure

open access: yes, 2004
A convergence structure for a category is given by determining convergent nets and their limits for each object of this category under validity of some basic convergence axioms.
Šlapal, Josef
core  

Characterizations of Relatively Countably Paracompact Spaces

open access: yes, 2009
We shall introduce the relatively countably n-paracompactness in a total space (n = 1,2,3) and discuss the relations among another relative properties, and also give their characterizations.
YASUI, Yoshikazu
core  

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