Topological Space Objects in a Topos II: ...-Completeness and ...-Cocompleteness.
Topological spaces with a selected subset-cardinal invariants and inequalities
Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces.
Topological Structures On Classes I
Topological structures on classes I.
Topological Structures On Classes II
Topological structures on classes II.
Topological structures on classes III.
Topologically maximal pretopologies
Topologické prostory
Topologie combinatoire et invariants combinatoires
Topologie su spazi di funzioni derivanti da topologie su iperspazi
Topologies on free monoids induced by families of languages
Topology from Neighbourhoods
Using Mizar [9], and the formal topological space structure (FMT_Space_Str) [19], we introduce the three U-FMT conditions (U-FMT filter, U-FMT with point and U-FMT local) similar to those VI, VII, VIII and VIV of the proposition 2 in [10]: If to each element x of a set X there corresponds a set B(x) of subsets of X such that the properties VI, VII, VIII and VIV are satisfied, then there is a unique topological structure on X such that, for each x ∈ X, B(x) is the set of neighborhoods of x in this...
Topology in a category: Compactness.
Total negation under constraint: pre-anti properties
L'operazione «anti( )» di Paul Bankston fu introdotta in contesto della famiglia di tutti gli spazii topologici. Però, per molte ricerche ci conviene lavorare esclusivamente in una classe costretta di spazii di cui la struttura e ricca abbastanza di facilitare il ragionamento. In quest'articolo descriviamo come trasferire anti ( ), e concetti allacciati, dentro una tale classe costretta; con riferimento speciale all'esistenza di «pre-antis».
Totally Brown subsets of the Golomb space and the Kirch space
A topological space is totally Brown if for each and every nonempty open subsets of we have . Totally Brown spaces are connected. In this paper we consider the Golomb topology on the set of natural numbers, as well as the Kirch topology on . Then we examine subsets of these spaces which are totally Brown. Among other results, we characterize the arithmetic progressions which are either totally Brown or totally separated in . We also show that and are aposyndetic. Our results...
Transitivity in uniform approach theory.
Über den c-Dual eines topologischen Vektorraumes.
Über Distanzfunktionen mit Werten in angeordneten Halbgruppen.
Viètes Tangentenkonstruktion und eine Klasse ebener Kurven.