PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (204)
Orphanage
Unclass'd
Unproven (490)
Corrections (6)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: High Entry average rating: No information on entry rating
Baire space (Definition)

Baire space is the topological product of countably many copies of $\mathbb{N}$ with discrete topology.

It is a Polish space.

Bibliography

1
Wikipedia's entry on Baire space (set theory)



Anyone with an account can edit this entry. Please help improve it!

"Baire space" is owned by mathcam. [ full author list (2) | owner history (1) ]
(view preamble)

View style:

Log in to rate this entry.
(view current ratings)

Cross-references: Polish space, discrete topology, product
There are 2 references to this entry.

This is version 2 of Baire space, born on 2006-07-07, modified 2006-07-07.
Object id is 8124, canonical name is BaireSpace2.
Accessed 1147 times total.

Classification:
AMS MSC: 54E50 (General topology :: Spaces with richer structures :: Complete metric spaces)
Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:
forum policy
Rendering error by kompik on 2006-07-07 07:02:56
The occurence of Baire space in the entry Cantor Space http://planetmath.org/encyclopedia/CantorSpace.html was automatically linked to http://planetmath.org/encyclopedia/BaireSpace.html -- therefore I created this "seed entry".

However, after finishing it I've got message:
"Rendering failed. LaTeX errors: "
But I wasn't able to find a mistake. No errors were marked in the source.
[ reply | up ]
Interact
post | correct | update request | add derivation | add example | add (any)