In mathematics, the Borsuk – Ulam theorem, named after Stanisław Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.

Important opera composers were Karol Kurpiński and Stanisław Moniuszko.

* Karol Stanisław " Panie Kochanku " Radziwiłł ( 1734 – 1790 )-noble, old proproetor Biała.

His students included Karol Borsuk, Bronisław Knaster, Kazimierz Kuratowski, Stanisław Saks, and Antoni Zygmund.

They included Stanisław Baliński, Gabriel Michał Karski, Światopełk Karpiński, Jerzy Paczkowski, Karol Zawodziński and Wilam Horzyca.

Karol Stanisław Olszewski ( 29 January 1846 – 24 March 1915 ) was a Polish chemist, mathematician and physicist.

* " Olszewski, Karol Stanisław ," Encyklopedia Polski, p. 464.

Among the notable politicians taking part in Hôtel Lambert's activities were Władysław Czartoryski, Józef Bem, Henryk Dembiński, Karol Kniaziewicz, Julian Ursyn Niemcewicz, Władysław Stanisław Zamoyski, and Władysław Ostrowski.

* Wilno Confederation formed by Czaroryski family against Karol Stanisław " Panie Kochanku " Radziwiłł ( 1764 );

* Radom Confederation formed by the religious minorities ( dissidents ) in support of Karol Stanisław " Panie Kochanku " Radziwiłł ( 1767 );

* Karol II Stanisław Radziwiłł

* Karol Stanisław Radziwiłł

The first one was the daughter of Court and Grand Marshal Karol Stanisław Radziwiłł, Princess Katarzyna Barbara Radziwiłł, that he married on 1 October 1720 in Biała. Branicki Palace, Białystok | Branicki Palace in Białystok His second wife was Barbara Szembek since 1732, the marriage ended in a divorce.

After her death, her son Karol Stanisław Radziwiłł I began renovation of the palace and tidied up its surroundings.

The next-to-last heir in tail of Nieśwież and Ołyka was Karol Stanisław " Panie Kochanku " Radziwiłł, Voivode of Vilnius, son of Michał Kazimierz " Rybeńko " Radziwiłł.

Karol Stanisław Radziwiłł II died a sick and blind man at age 57.

: For other people to use this name see: Karol Stanisław Radziwiłł

Prince Karol Stanisław Radziwiłł (; 1734 – 90 ) was a Polish – Lithuanian szlachcic, voivod of Vilnius and starosta of Lwów.

* " Radziwiłł, Karol Stanisław ' Panie Kochanku '" (" Karol Stanisław ' My Dear Sir ' Radziwiłł "), Encyklopedia Polski ( Encyclopedia of Poland ), Kraków, Wydawnictwo Ryszard Kluszczyński, 1996, ISBN 83-86328-60-6, p. 564.

de: Karol Stanisław Radziwiłł

pl: Karol Stanisław Radziwiłł Panie Kochanku

After being rebuilt, Karol Stanisław " Panie Kochanku " took up residence.

Confederation forces under Ignacy Malczewski, Michał Jan Pac and Prince Karol Radziwiłł roamed the land in every direction, won several engagements with the Russians, and at last, utterly ignoring the King, sent envoys on their own account to the principal European powers.

His last Polish aide de camp was Prince Karol Radziwiłł, who inherited a large 500, 000 acre ( 2, 000 km² ) estate in eastern Poland when the Communists killed his uncle.

* Karol Stanisław " Panie Kochanku " Radziwiłł, 1734 – 1790, voivode of Vilnius and Marshal of the Bar Confederation

In order to further Russian interests, he encouraged the creation of two Protestant confederations ( of Sluck and Toruń ) and later, a Catholic one ( the Radom Confederation, led by Karol Stanisław " Panie Kochanku " Radziwiłł ).

Prince Karol Stanisław Radziwiłł ( 1669 – 1719 ) was a Polish-Lithuanian szlachcic.

* Karol Stanisław Radziwiłł ( 1669 – 1719 ), Grand Chancellor of Lithuania

# redirect Karol Stanisław Radziwiłł ( 1669 – 1719 )

* Fides et Ratio – the relationship between faith and reason Karol Wojtyla

* 1897 – Karol Świerczewski, Polish general ( d. 1947 )

* 1964 – Karol Wojtyla, the future Pope John Paul II, is appointed archbishop of Kraków, Poland.

* 1785 – Karol Kurpiński, Polish composer ( d. 1857 )

* 1915 – Karol Olszewski, Polish scientist ( b. 1846 )

* 1937 – Karol Szymanowski, Polish composer ( b. 1882 )

Forced to sign a peace treaty with the Poles after the Battle of Chotin ( Chocim ) ( which was, in fact, a siege of Chotin defended by the Polish hetman Jan Karol Chodkiewicz ) in September – October, 1621, Osman II returned home to Istanbul in shame, blaming the cowardice of the Janissaries and the insufficiency of his statesmen for his humiliation.

* 1882 – Karol Szymanowski, Polish composer and pianist ( d. 1937 )

* 1857 – Karol Kurpiński, Polish composer ( b. 1785 )

* March 29 – Karol Szymanowski, Polish composer ( b. 1882 )

* October 6 – Karol Szymanowski, Polish composer ( d. 1937 )

* Jan Karol Chodkiewicz of Poland ( 1560 – 1621 ), Military commander

* June 23 – Karol Marcinkowski, Polish physician and social activist ( d. 1846 )

* September 24 – Jan Karol Chodkiewicz, Polish military commander ( b. 1560 )

* Karol Olszewski 1846 – 1915 ; physicist ; chemist ; the first to liquefy oxygen, nitrogen and carbon dioxide from the atmosphere

* Pope John Paul II ( Karol Wojtyła ) 1920 – 2005

Julian Karol Sochocki (, ; February 2, 1842, Warsaw, Congress Poland, Russian Empire – December 14, 1927, Leningrad, Soviet Union ) was a Polish mathematician.

Also in 1978, Polish Cardinal Karol Wojtyła was elected Pope John Paul II – an event which the Soviets believed Brzezinski orchestrated.

The same can be said of parts of Polish composer Karol Szymanowski's Nocturne and Tarantella ( 1915 ) and Kaikhosru Shapurji Sorabji's Symphonic Nocturne for Piano Alone ( 1977 – 78 ).

* Karol Kennedy – 1952 Olympic silver medalist who competed in the 1948 and 1952 games in figure skating

* January 11 – Karol Szymanowski's Stabat Mater is premiered.

* Karol Szymanowski – Demeter ( cantata )

Jan Karol Chodkiewicz ( c. 1560 – September 24, 1621 ) (, ) was a famous military commander of the Polish-Lithuanian army ( from 1601 Field Hetman of Lithuania, from 1605 Grand Hetman of Lithuania ) and one of the most prominent noblemen of the Polish-Lithuanian Commonwealth.

* September 16 – Karol Rathaus, Austrian ( Ukrainian ) composer ( died 1954 )