scholarly journals A Note on Hausdorff Separation

1961 ◽  
Vol 68 (2) ◽  
pp. 164 ◽  
Author(s):  
Edwin Halfar
Keyword(s):  
Hausdorff Separation

scholarly journals A note on the comparison of topologies

2001 ◽  
Vol 26 (4) ◽  
pp. 233-237
Author(s):  
Martin M. Kovár
Keyword(s):  
Separation Axiom ◽  
Covering Properties ◽  
Considerable Problem ◽  
Hausdorff Separation

A considerable problem of some bitopological covering properties is the bitopological unstability with respect to the presence of the pairwise Hausdorff separation axiom. For instance, if the space is RR-pairwise paracompact, its two topologies will collapse and revert to the unitopological case. We introduce a new bitopological separation axiomτS2σwhich is appropriate for the study of the bitopological collapse. We also show that the property that may cause the collapse is much weaker than some modifications of pairwise paracompactness and we generalize several results of T. G. Raghavan and I. L. Reilly (1977) regarding the comparison of topologies.

Hausdorff separation in categories

1993 ◽  
Vol 1 (3) ◽  
pp. 285-295 ◽  
Author(s):  
M. Manuel Clementino
Keyword(s):  
Hausdorff Separation

A Note on the Hausdorff Separation Property in First Countable Spaces

1965 ◽  
Vol 72 (3) ◽  
pp. 289 ◽  
Author(s):  
Arnold J. Insel
Keyword(s):  
Separation Property ◽  
Hausdorff Separation

A note on Hausdorff separation in L-TOP

2008 ◽  
Vol 159 (19) ◽  
pp. 2606-2610 ◽  
Author(s):  
Ulrich Höhle ◽  
Tomasz Kubiak
Keyword(s):  
Hausdorff Separation

HAUSDORFF SEPARATION THEOREMS

1978 ◽  
Vol 12 (2) ◽  
pp. 247-253
Author(s):  
V D Golovin
Keyword(s):  
Separation Theorems ◽  
Hausdorff Separation

scholarly journals A note on Raghavan-Reilly's pairwise paracompactness

2000 ◽  
Vol 24 (2) ◽  
pp. 139-143 ◽  
Author(s):  
Martin M. Kovár
Keyword(s):  
Separation Axiom ◽  
Hausdorff Separation

The bitopological unstability ofRR-pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local thanRR-pairwise paracompactness. We slightly generalize some Michael's constructions and characterizeRR-pairwise paracompactness in terms of bitopologicalθ-regularity, and some other weaker modifications of pairwise paracompactness.

scholarly journals Nonseparated manifolds and completely unstable flows

1987 ◽  
Vol 10 (4) ◽  
pp. 745-756
Author(s):  
Sudhir K. Goel
Keyword(s):  
Topological Space ◽  
Continuous Flow ◽  
Orbit Space ◽  
Separation Property ◽  
Order Structure ◽  
Countable Basis ◽  
Hausdorff Separation

We define an order structure on a nonseparatedn-manifold. Here, a nonseparated manifold denotes any topological space that is locally Euclidean and has a countable basis; the usual Hausdorff separation property is not required. Our result is that an ordered nonseparatedn-manifoldXcan be realized as an ordered orbit space of a completely unstable continuous flowϕon a Hausdorff(n+1)-manifoldE.

Approach Theory in a Category: A Study of Compactness and Hausdorff Separation

2007 ◽  
Vol 16 (4) ◽  
pp. 479-493 ◽  
Author(s):  
A. Gerlo
Keyword(s):  
Approach Theory ◽  
Hausdorff Separation

scholarly journals The Hausdorff separation axiom for fuzzy topological spaces

1980 ◽  
Vol 11 (3) ◽  
pp. 319-334 ◽  
Author(s):  
S.E. Rodabaugh
Keyword(s):  
Topological Spaces ◽  
Separation Axiom ◽  
Hausdorff Separation ◽  
Fuzzy Topological Spaces
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