Baire spaces

R. C. Haworth; R. A McCoy

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1977

Abstract

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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces............................................................................................................. 114. Isolated points and Baire spaces......................................................................... 15II. Concepts related to Baire spaces................................................................ 181. Baire spaces in the strong sense................................................................ 182. Baire category theorem........................................................................................... 193. Complete type properties which imply Baire...................................................... 194. Minimal spaces........................................................................................................ 24III. Characterizations of Baire spaces............................................................... 291. Blumberg type theorems........................................................................................ 292. Covering and filter characterizations.................................................................... 363. Characterizations of Baire spaces involving pseudo-complete spaces....... 374. The Banach-Mazur game........................................................................................ 385. Countably-Baire spaces......................................................................................... 41IV. The dynamics of Baire spaces..................................................................... 441. Images and inverse images of Baire spaces.................................................... 442. Baire space extensions.......................................................................................... 493. Hyperspaces and functions spaces..................................................................... 53V. Products of Baire spaces............................................................................... 561. Finite products.......................................................................................................... 562. Infinite products........................................................................................................ 603. k-Baire spaces.......................................................................................................... 644. Product counterexamples....................................................................................... 69Bibliography........................................................................................................... 72

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R. C. Haworth, and R. A McCoy. Baire spaces. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1977. <http://eudml.org/doc/268479>.

@book{R1977,
abstract = {CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces............................................................................................................. 114. Isolated points and Baire spaces......................................................................... 15II. Concepts related to Baire spaces................................................................ 181. Baire spaces in the strong sense................................................................ 182. Baire category theorem........................................................................................... 193. Complete type properties which imply Baire...................................................... 194. Minimal spaces........................................................................................................ 24III. Characterizations of Baire spaces............................................................... 291. Blumberg type theorems........................................................................................ 292. Covering and filter characterizations.................................................................... 363. Characterizations of Baire spaces involving pseudo-complete spaces....... 374. The Banach-Mazur game........................................................................................ 385. Countably-Baire spaces......................................................................................... 41IV. The dynamics of Baire spaces..................................................................... 441. Images and inverse images of Baire spaces.................................................... 442. Baire space extensions.......................................................................................... 493. Hyperspaces and functions spaces..................................................................... 53V. Products of Baire spaces............................................................................... 561. Finite products.......................................................................................................... 562. Infinite products........................................................................................................ 603. k-Baire spaces.......................................................................................................... 644. Product counterexamples....................................................................................... 69Bibliography........................................................................................................... 72},
author = {R. C. Haworth, R. A McCoy},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Baire spaces},
url = {http://eudml.org/doc/268479},
year = {1977},
}

TY - BOOK
AU - R. C. Haworth
AU - R. A McCoy
TI - Baire spaces
PY - 1977
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces............................................................................................................. 114. Isolated points and Baire spaces......................................................................... 15II. Concepts related to Baire spaces................................................................ 181. Baire spaces in the strong sense................................................................ 182. Baire category theorem........................................................................................... 193. Complete type properties which imply Baire...................................................... 194. Minimal spaces........................................................................................................ 24III. Characterizations of Baire spaces............................................................... 291. Blumberg type theorems........................................................................................ 292. Covering and filter characterizations.................................................................... 363. Characterizations of Baire spaces involving pseudo-complete spaces....... 374. The Banach-Mazur game........................................................................................ 385. Countably-Baire spaces......................................................................................... 41IV. The dynamics of Baire spaces..................................................................... 441. Images and inverse images of Baire spaces.................................................... 442. Baire space extensions.......................................................................................... 493. Hyperspaces and functions spaces..................................................................... 53V. Products of Baire spaces............................................................................... 561. Finite products.......................................................................................................... 562. Infinite products........................................................................................................ 603. k-Baire spaces.......................................................................................................... 644. Product counterexamples....................................................................................... 69Bibliography........................................................................................................... 72
LA - eng
UR - http://eudml.org/doc/268479
ER -

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