Zobrazeno 1 - 10
of 53
pro vyhledávání: '"David Gauld"'
Autor:
David Gauld
Publikováno v:
New Zealand Journal of Mathematics. 52:167-174
We verify a conjecture of P. Adjamagbo that if the frontier of a relatively compact subset $V_0$ of a manifold is a submanifold then there is an increasing family $\{V_r\}$ of relatively compact open sets indexed by the positive reals so that the fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc74000cb0718ee5e030d000f7de9b2c
https://doi.org/10.53733/131
https://doi.org/10.53733/131
Autor:
David Gauld, Sina Greenwood
Publikováno v:
Topology and its Applications. 207:10-21
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4901851a6caff94e3ce6dc6a0eda76ef
https://doi.org/10.1016/j.topol.2016.04.012
https://doi.org/10.1016/j.topol.2016.04.012
Publikováno v:
Fuzzy Sets and Systems. 238:71-88
Considering a category SL-GConv, of stratified enriched cl-premonoid-valued generalized convergence spaces, we present the category SL-GConvGrp, of stratified L-generalized convergence groups, and some of its subcategories. We present two natural exa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::531550492942386aea0ab0972a486e6f
https://doi.org/10.1016/j.fss.2013.08.010
https://doi.org/10.1016/j.fss.2013.08.010
Publikováno v:
New Mathematics and Natural Computation. 10(01):27-53
In this paper, we focus on enriched cl-premonoid-valued topological groups, and their so-called change-of-basis lattice. In so doing, we take L as an enriched cl-premonoid and present a category SL-NTopGrp, of stratified enriched cl-premonoid-valued
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ec2b5a116add2e98646b1e64cae002a
http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S1793005714500021
http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S1793005714500021
Autor:
David Gauld
Publikováno v:
Topology and its Applications. 160:2473-2481
In this note we relate some selection principles to metrisability and separability of a manifold. In particular we show that S fin ( K , O ) , S fin ( Ω , Ω ) and S fin ( Λ , Λ ) are each equivalent to metrisability for a manifold, while S 1 ( D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::897e144c5964d457726130c9ad44ba46
https://doi.org/10.1016/j.topol.2013.07.041
https://doi.org/10.1016/j.topol.2013.07.041
Publikováno v:
Journal of the Indian Mathematical Society. 85:291
In this paper a new covering notion, called M-star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*D,fin(D, D). The stronger form SS*D,1(D, D) of the selection hypothesis SS*D,fin(D, D) will also b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b981e21fca7409de505c18bdfc318f96
https://doi.org/10.18311/jims/2018/20145
https://doi.org/10.18311/jims/2018/20145
Publikováno v:
Proceedings of the American Mathematical Society. 136:3363-3373
All metaLindelöf, and most countably paracompact, homogeneous manifolds are Hausdorff. Metacompact manifolds are never rigid. Every countable group can be realized as the group of autohomeomorphisms of a Lindelöf manifold. There is a rigid foliatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86718f544c4faedefdb322f755b58a0a
https://doi.org/10.1090/s0002-9939-08-09343-x
https://doi.org/10.1090/s0002-9939-08-09343-x
Autor:
David Gauld
Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not. The former, metrisable manifolds, and especially compact manifolds, have been intensively studied by topologists for over a c
Autor:
Szymon Dolecki, David Gauld
Publikováno v:
Topology and its Applications. 154:1565-1580
Regular and irregular pretopologies are studied. In particular, for every ordinal there exists a topology such that the series of its partial (pretopological) regularizations has length of that ordinal. Regularity and topologicity of special pretopol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e65f1427a3b88d96395b2d19b7735e66
https://doi.org/10.1016/j.topol.2006.11.009
https://doi.org/10.1016/j.topol.2006.11.009
Publikováno v:
Topology and its Applications. 153(15):3029-3037
This paper continues the study of pp spaces. It is shown that under a wide variety of circumstances, pp spaces are paracompact. However, examples of pp non-paracompact spaces are given, some have strong separation and covering properties, other examp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac942d9ba1101f175d6f6eccb3678182