Multiplication is discontinuous in the Hawaiian earring group (with the quotient topology)

• Autorzy: Fabel P.
• Języki publikacji: EN

Abstrakty

EN

The natural quotient map q from the space of based loops in the Hawaiian earring onto the fundamental group provides a naturally occuring example of a quotient map such that q x q fails to be a quotient map. With the quotient topology, this example shows π₁(X,p) can fail to be a topological group if X is locally path connected.

Słowa kluczowe

EN

Hawaiian earring

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: Vol. 59, no 1
• Strony: 77--83
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Fabel P.

• Department of Mathematics and Statistics, Mississippi State University, Drawer MA, Mississippi State, MS 39762, U.S.A.,

Bibliografia

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