Spazio polacco

Abbozzo
Questa voce sull'argomento topologia è solo un abbozzo.
Contribuisci a migliorarla secondo le convenzioni di Wikipedia.

In matematica, uno spazio polacco è una struttura topologica astratta, che deve il suo nome alla scuola di matematici polacchi che all'inizio del XX secolo ne studiarono le proprietà. I principali risultati riguardanti spazi polacchi sono infatti legati ai nomi di Wacław Sierpiński, Kazimierz Kuratowski e Alfred Tarski.

Oggi l'interesse degli spazi polacchi risiede principalmente nel fatto che essi sono la struttura naturale su cui studiare la teoria descrittiva degli insiemi, ed in particolare le relazioni di equivalenza di Borel. Inoltre, la maggior parte dei risultati della teoria della probabilità riguardano misure di probabilità su spazi polacchi, rendendone l'uso piuttosto diffuso in questo settore della matematica.

Definizione

Uno spazio topologico si dice polacco se esso è uno spazio separabile e completamente metrizzabile. Nel caso in cui ci si riferisca ad una particolare metrica, si parla anche di spazio metrico polacco.

Risultati

Ci sono numerosi risultati concernenti la topologia di uno spazio polacco, e le costruzioni che si possono effettuare su di esso[1].

Note

  1. ^ Qualche ulteriore risultato è dato alle voci Teoria descrittiva degli insiemi ed Algebra di Borel. Si veda il Kechris per un'analisi più esaustiva.
  2. ^ Si veda la sezione Risultati alla voce 'Algebra di Borel per un enunciato completo del teorema di Kuratowski.

Bibliografia

  • Kechris, Alexander S., Classical Descriptive Set Theory, Springer-Verlag, 1994, ISBN 0-387-94374-9.
  • Moschovakis, Yiannis N., Descriptive Set Theory, North Holland, 1980, ISBN 0-444-70199-0.

Voci correlate

  Portale Matematica: accedi alle voci di Wikipedia che trattano di matematica

Read other articles:

Energy (album Fourplay)

FourplayAlbum studio karya FourplayDirilis23 September 2008Direkam2008GenreJazz fusionLabelHeads Up InternationalProduserFourplayKronologi Fourplay X(2006) Fourplay(2008) Let's Touch the Sky(2010) Penilaian profesional Skor ulasan Sumber Nilai Allmusic [1] Energy adalah album studio ke-10 Fourplay. Album ini dirilis tanggal 23 September 2008. Ini adalah album Fourplay terakhir bersama gitaris Larry Carlton sebelum digantikan oleh Chuck Loeb pada 2010. Daftar lagu Fortune Teller Th...

 

 

Ludwig Trautmann

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada Desember 2022. Ludwig TrautmannLahir(1885-11-22)22 November 1885Dachsbach, JermanMeninggal24 Januari 1957(1957-01-24) (umur 71)Berlin Barat, JermanPekerjaanPemeranTahun aktif1912–1953 Ludwig Trautmann (22 November 1885 – 24 Januari 1957) ...

 

 

Herman Baltia

Belgian military officer Herman BaltiaBaltia, photographed in 1922Born(1863-09-01)1 September 1863Saint-Josse-ten-Noode, BelgiumDied16 September 1938(1938-09-16) (aged 75)Saint-Gilles, BelgiumNationalityBelgianOccupation(s)soldier, politician Baron Herman Baltia (1 September 1863 – 16 September 1938) was a Belgian military officer, the son of the Belgian General Charles Baltia (of Luxembourgish origin) and of a German mother. Career In 1907 Baltia was made an officer in the army's cart...

Jurang Pemisah

Jurang PemisahAlbum studio karya Yockie Suryo Prayogo bersama ChrisyeDirilis17 April 1977[1]Direkam1977StudioIrama Mas, JakartaGenrePop rock, progressive rockDurasi39:1728:06 (versi piringan hitam 1977)LabelPramaqua RecordsProduserYockie Suryo PrayogoKronologi Yockie Suryo Prayogo Musik Santai(1976) Jurang Pemisah(1977) Musik Santai II(1977) Kronologi Chrisye Guruh Gipsy(1976) Jurang Pemisah(1977) Badai Pasti Berlalu(1977) Sampul piringan hitam Jurang Pemisah adalah album pertama ...

 

 

Kurt Absolon

Pour les articles homonymes, voir Absolon (homonymie). Kurt AbsolonNaissance 28 février 1925VienneDécès 26 avril 1958 (à 33 ans)WulkaprodersdorfNationalité autrichienneActivité PeintreVue de la sépulture.modifier - modifier le code - modifier Wikidata Kurt Absolon (Vienne, 28 février 1925 - Wulkaprodersdorf, 26 avril 1958) est un peintre autrichien. Biographie Kurt Absolon passe son baccalauréat en 1943 et devient soldat sous l'uniforme allemand jusqu'à la fin de la guerre. En...

 

 

Javan ferret-badger

Species of carnivore Javan ferret-badger Conservation status Least Concern  (IUCN 3.1)[1] Scientific classification Domain: Eukaryota Kingdom: Animalia Phylum: Chordata Class: Mammalia Order: Carnivora Family: Mustelidae Genus: Melogale Species: M. orientalis Binomial name Melogale orientalisBlanford, 1888 Javan ferret-badger range Synonyms Melogale personata ssp. orientalis Blanford, 1888 The Javan ferret-badger (Melogale orientalis) is a mustelid endemic to Java and Bali, ...

Fontainebleau

For other uses, see Fontainebleau (disambiguation). Subprefecture and commune in Île-de-France, FranceFontainebleauSubprefecture and communePalace of Fontainebleau Coat of armsLocation of Fontainebleau FontainebleauShow map of FranceFontainebleauShow map of Île-de-France (region)Coordinates: 48°24′35″N 2°42′09″E / 48.4097°N 2.7025°E / 48.4097; 2.7025CountryFranceRegionÎle-de-FranceDepartmentSeine-et-MarneArrondissementFontainebleauCantonFontainebleauInte...

 

 

コルク

この記事は検証可能な参考文献や出典が全く示されていないか、不十分です。出典を追加して記事の信頼性向上にご協力ください。（このテンプレートの使い方）出典検索?: コルク – ニュース · 書籍 · スカラー · CiNii · J-STAGE · NDL · dlib.jp · ジャパンサーチ · TWL（2017年4月） コルクを打ち抜いて作った瓶の栓 コルク（木栓、�...

 

 

Skyclad

Disambiguazione – Se stai cercando l'omonima pratica neopagana, vedi nudità rituale. SkycladGli Skyclad al Rockharz Open Air 2018 Paese d'origine Inghilterra GenereFolk metal[1] Periodo di attività musicale1990 – in attività EtichettaScarlet Records Album pubblicati18 Studio12 Live2 Raccolte4 Sito ufficiale Modifica dati su Wikidata · Manuale Gli Skyclad sono un gruppo heavy metal britannico, considerato l'inventore del sottogenere folk metal[...

Calpernia Addams

American LGBT rights activist Calpernia AddamsCalpernia Addams, at 2009 Outfest Legacy AwardsBorn (1971-02-20) February 20, 1971 (age 53)Nashville, Tennessee, U.S.Occupations Actress musician activist spokesperson Years active2002–presentWebsitewww.calpernia.com Calpernia Sarah Addams (born February 20, 1971) is an American actress, musician, spokesperson and activist for transgender rights and issues.[1] Early life Addams grew up in Nashville, Tennessee.[2] She se...

 

 

Birmingham City Council elections

British municipal elections Birmingham City Council elections are held every four years. Birmingham City Council is the local authority for the metropolitan district of Birmingham in the West Midlands, England. Since the last boundary changes in 2018, 101 councillors have been elected from 69 wards.[1] Prior to 2018 elections were held three years out of every four, with a third of the council elected each time.[2] Political control From 1889 to 1974 Birmingham was a county bo...

 

 

Stadion Marcel Picot

Stadion Marcel-Picot Informasi stadionNama lengkapStade Marcel-PicotNama lamaStade du Parc des Sports du Pont d’Essey (1926–1963)PemilikPemerintah Kota Besar NancyLokasiLokasi90 Boulevard Jean-Jaurès 54510 Tomblaine, Nancy PrancisKoordinat48°41′44″N 6°12′38″E / 48.6955°N 6.210687°E / 48.6955; 6.210687Koordinat: 48°41′44″N 6°12′38″E / 48.6955°N 6.210687°E / 48.6955; 6.210687KonstruksiDibuka8 Agustus 1926Direnovas...

Ontario Women's Hockey League

Junior ice hockey league in Ontario, Canada Ontario Women's Hockey LeagueSportIce hockeyFounded2004; 20 years ago (2004)CEOFran Rider, OWHANo. of teams20Country CanadaMost recentchampion(s)Durham West Jr. Lightning (2)Most titlesToronto Jr. Aeros (7)Official websiteOWHL official site The Ontario Women's Hockey League U22 Elite (OWHL), formerly the Provincial Women's Hockey League, is a women's junior ice hockey league in Ontario, Canada. Founded in 2004, it is consi...

 

 

Mansfield Town F.C.

câu lạc bộ bóng đá ở Mansfield, AnhBản mẫu:SHORTDESC:câu lạc bộ bóng đá ở Mansfield, Anh Mansfield TownTên đầy đủCâu lạc bộ bóng đá Mansfield TownBiệt danhThe Stags, YellowsThành lập1897; 127 năm trước (1897) (với tên gọi Mansfield Wesleyans)SânField MillSức chứa9.186[1]Chủ sở hữuCarolyn Radford & John Radford [2]Chief ExecutiveDavid SharpeNgười quản lýGraham Coughlan[3]Giải �...

 

 

إبيفانيوس السلاميسي

إبيفانيوس السلاميسي معلومات شخصية الميلاد 315إليوثيروبوليس  الوفاة 403البحر الأبيض المتوسط مواطنة روما القديمة  مناصب الحياة العملية المهنة كاهن،  وكاتب  اللغات العبرية،  وكوينه،  والقبطية،  واللاتينية،  والسريانية،  والإغريقية  تعديل مصدري - تعد...

Canadian Peacekeeping Service Medal

AwardCanadian Peacekeeping Service MedalThe obverse and reverse of the medalTypeService medalAwarded forA minimum of 30 days cumulative service in a UN or international peacekeeping mission.Presented byThe monarch of CanadaStatusCurrently awardedEstablished2000First awarded6 September 2000Total recipients68,000Ribbon of the Canadian Peacekeeping Service Medal PrecedenceNext (higher)Special Service MedalNext (lower)United Nations Korea Medal The Canadian Peacekeeping Service Medal (F...

 

 

Military history of Australia

A history of all of Australia's military involvements This article is part of a series on theHistory of Australia Timeline and periods Prehistory European exploration (sea) European exploration (land) 1788–1850 1851–1900 1901–1945 1945–present Topics Abortion Agriculture Antisemitism Anzac Day Banking Capital punishment Civil rights Cinema Constitution Diplomacy Economics Eureka Rebellion Federation 1901 Federal Flag Design Competition Historiography Immigration Labour LGBT Military M...

 

 

Fatah

Disambiguazione – Fath rimanda qui. Se stai cercando altri significati, vedi Fath (disambigua). Disambiguazione – Al-Fatah rimanda qui. Se stai cercando la società segreta araba, vedi Al-Fatah (società segreta). Fatḥ(AR) فتح LeaderMahmūd Abbās Stato Palestina SedeRamallah Fondazione1959 IdeologiaSocialdemocrazia[1]Nazionalismo palestinese[2]Soluzione dei due Stati (dal 1988)[3] CollocazioneCentro-sinistra/Sinistra Partito eu...

Agricultural economics

Economic theory applied to food production and land use for the agriculture Part of a series onEconomics History Outline Index Branches and classifications Applied Econometrics Heterodox International Micro / Macro Mainstream Mathematical Methodology Political JEL classification codes Concepts, theory and techniques Economic systems Economic growth Market National accounting Experimental economics Computational economics Game theory Operations research Middle income trap Industrial complex By...

 

 

Blad

Zie Blad (doorverwijspagina) voor andere betekenissen van Blad. Diversiteit in bladmorfologie bij zaadplanten (spermatofyten) Een blad is een dun, bovengronds orgaan dat gewoonlijk aan de stengels of takken van zaadplanten en varens groeit. De bebladering is het geheel van de bladeren van een plant. De belangrijkste functies van bladeren zijn het vangen van licht voor fotosynthese en de verdamping van water. Met behulp van fotosynthese worden in bladeren, onder invloed van zonlicht, koolhydr...