國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁 到查詢結果 [ subject:"Order, Lattices, Ordered Algebraic Structures." ]

切換: 標籤 | MARC模式 | ISBD

Separation in point-free topology

Picado, Jorge.

Separation in point-free topology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Separation in point-free topologyby Jorge Picado, Ales Pultr.
作者:	Picado, Jorge.
其他作者:	Pultr, Ales.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xxi, 281 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Topology.
電子資源:	https://doi.org/10.1007/978-3-030-53479-0
ISBN:	9783030534790$q(electronic bk.)

Separation in point-free topology
Picado, Jorge.

Separation in point-free topology[electronic resource] /by Jorge Picado, Ales Pultr. - Cham :Springer International Publishing :2021. - xxi, 281 p. :ill., digital ;24 cm.

Introduction -- Separation in spaces -- Subfitness, and basics of fitness -- Subfitness, and basics of fitness -- Summarizing low separation -- Regularity and fitness -- Complete regularity -- Complete regularity -- Normality -- Complete regularity -- Scatteredness. Joins of closed sublocales -- Subfit, fit, open and complete -- Appendix.

This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.

ISBN: 9783030534790$q(electronic bk.)

Standard No.: 10.1007/978-3-030-53479-0doiSubjects--Topical Terms:

185965
Topology.

LC Class. No.: QA611 / .P533 2021

Dewey Class. No.: 514

Separation in point-free topology
LDR:02695nmm a2200325 a 4500 001 597235
003 DE-He213
005 20210629140603.0
006 m d
007 cr nn 008maaau
008 211019s2021 sz s 0 eng d
020 $a 9783030534790$q(electronic bk.)
020 $a 9783030534783$q(paper)
024 7 $a 10.1007/978-3-030-53479-0 $2 doi
035 $a 978-3-030-53479-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA611 $b .P533 2021
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 514 $2 23
090 $a QA611 $b .P585 2021
100 1 $a Picado, Jorge. $3 558253
245 1 0 $a Separation in point-free topology $h [electronic resource] / $c by Jorge Picado, Ales Pultr.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2021.
300 $a xxi, 281 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Separation in spaces -- Subfitness, and basics of fitness -- Subfitness, and basics of fitness -- Summarizing low separation -- Regularity and fitness -- Complete regularity -- Complete regularity -- Normality -- Complete regularity -- Scatteredness. Joins of closed sublocales -- Subfit, fit, open and complete -- Appendix.
520 $a This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.
650 0 $a Topology. $3 185965
650 1 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Category Theory, Homological Algebra. $3 275954
700 1 $a Pultr, Ales. $3 468703
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-53479-0
950 $a Mathematics and Statistics (SpringerNature-11649)