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

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

2009-09-16

arxiv.org/abs/0909.3086v2

Mathematics

General Topology

5 pages. A modified introduction and bibilography

Scientific paper

The natural quotient map q from the space of based loops in the Hawaiian earring onto the fundamental group provides a new example of a quotient map such that q x q fails to be a quotient map. This also settles in the negative the question of whether the fundamental group (with the quotient topology) of a compact metric space is always a topological group with the standard operations.

Affiliated with

Also associated with

No associations

Rating

Multiplication is discontinuous in the Hawaiian earring group (with the quotient topology) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiplication is discontinuous in the Hawaiian earring group (with the quotient topology), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplication is discontinuous in the Hawaiian earring group (with the quotient topology) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583625